I only need problem number 64 I'm having trouble Problems 4.63 through 4.65A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a14 ft chute inclined at 35°. The surface of the chute has a coefficient of kinetic friction u.and at its lower end, it smoothly lets the crate onto a horizontal trajectory. The horizontalsurface at the end of the chute has a coefficient of kinetic friction u2. Model the crateas a particle, and assume that gravity and the contact forces between the crate and thesliding surface are the only relevant forces.14 ftMK235°5 ftFigure P4.63-P4.65 Mk2kMww35°5 ftFigure P4.63-P4.65Problem 4.63 If u = 0.35, what is the speed with which the crate reaches the bottomof the chute (immediately before the crate's trajectory becomes horizontal)?Problem 4.64 Find u such that the crate's speed at the bottom of the chute (immedi-ately before the crate's trajectory becomes horizontal) is 15 ft/s.= 0.5 and suppose that, once the crate reaches the bottom ofProblem 4.65 Let ukthe chute and after sliding horizontally for 5 ft, the crate runs into a bumper. If the weightof the crate is W = 110lb, Hk2 = 0.33, modeling the bumper as a linear spring withconstant k, and neglecting the mass of the bumper, determine the value of k so that thecrate comes to a stop 2 ft after impacting with the bumper.

Given: v = 15 ft/s u = 14 ft/s s = 14 ft

Answered: Problem 4.64 Find u such that the…

Problem 4.64 Find u such that the crate's speed at the bottom of the chute (immedi- ately before the crate's trajectory becomes horizontal) is 15 ft/s.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.48P: Find the smallest distance d for which the hook will remain at rest when acted on by the force P....

See similar textbooks

Related questions

Q: 6 kN Use the moment-area theorems and determine the slope at A and deflection at A. EI is constant. ...

A: The moment-area method or Mohr's method is based upon two theorems:- Theorem-1: The change in slop...

Q: How does resonance occurs in a dynamic system? What must I take into account from preventing this fr...

Q: Discuss how managers identify and act on deviations from plans.

A: A scope change is a divergence from the project scopes or tasks initially agreed upon and include...

Q: 1) A pipe carries water from the bottom of a pool to the top of a water slide with the aid of a pump...

A: Given: energy output of the pump per unit volume=62 KJm3 and volume flow rate→Q=0.3 m3sec so power g...

Q: Determine the maximum shear stress of the given shaft in MPa if a T= 10kNm torque is applied to it; ...

A: From the given data, Torque applied on shaft = T = 10 kNm = 10 x 106 Nmm Diameter of shaft = D = 75 ...

Q: Example: Find the velocity at the pipe center. water D-5 0.0 (stag.)

Q: for the enhancement of load bearing capability of composite materials

A: b: explaion with detail sketches why length and diameter of the fiber matrial plays the vidal roles ...

Q: Given: Mass of block =M Angle of incline 0 Length of incline S Height of incline = h Height(h) - S s...

Q: embalmed are called ___ fluids.

A: ANSWER- supplemental

Q: While drilling a hole with a brace and bit,you exert a downward force P = 25 lb on the handleof the ...

Q: a) Find the resultant force vector R. (you can use "paint" to indicate and draw the resultant force ...

A: Given:F1=500 Nθ=35oF2=600 NF3=200 N

Q: The assembly shown in the figure consists ofa brass core (diameter d1 = 0.25 in.) surrounded by aste...

A: Given Data The diameter of the brass core is: d1=0.25 in The inner diameter is: d2=0.28 in The oute...

Q: A 30 cm pipe carrying water, branches into two pipes of 20 cm and 15 cm diameter. If mean velocity i...

Q: Q3. For what value of k is the line 2x + k.y = 3 perpendicular to the %3D line 4x + y = 1? For what ...

A: Answer: (a) Both lines are perpendicular at K = -8 (b) Both lines are parallel at K = 0.5

Q: A sliding block C moves along a horizontal line Q2C. A rotation arm Q2B is 4 feet & 3 in. long and r...

Q: PROBLEM 4 To monitor the pressure in three pipes, a manometer setup was installed in one section of ...

A: Given: gauge pressure in pipe B→PB=7200 lbft2 because inside the pipe B, water is flowing and densit...

Q: The demand for electric power is usually much higher during the day than it is at night, and utility...

A: Given data Head available = 50 mIrreversible Head Loss = 4 mVolume Flow rate = 2 m3/sTurbine has to ...

Q: Name three factors that determine the amount of voltage induced in the rotor of a wound-rotor motor.

A: Given data : Voltage induced in rotor of a wound rotor motor.

Q: The rigid bar ABC 1s supported by a pin at A and a steel rod at B. Determine 8. the largest vertical...

Q: The in-cylinder pressure of an engine has been measured at both TDC and BDC, which are P1 = (1.0000x...

Q: The speed of sound in a solid medium is given by the formulae v = of Young's modulus for the solid a...

Q: We are considering a homogeneous linear system Ax b, where b = 0 and with A being an nxn, then the s...

A: From Homogeneous linear system Ax = b Where b = 0 One solution is non zero then it is non trivial s...

Q: Meaning of 316 in E316T-1

A: Given data : E316T-1

Q: An aluminum wire of length 2.0 m and diameter 5 mm is used to hang a load of 100 kg. The modulus of ...

Q: 1. A cantilever of square cross section as shown was made of mild carbon steel SAE 1020, as rolled, ...

A: d4ydx4-PEIδx-L3..............1y(0)=0; y'(0)=0y(L)=0,y'(L)=0y''(0)=c, ; y'''(0)=c2taking integration ...

Q: A uniaxial force was applied on the shown coupon during an experiment. The thickness, width and leng...

A: Given: strain developed in x direction→εx=εa=-0.2×10-3 strain developed at 30° from x axis→εb=0.667×...

Q: A rectangular column with cross-sectionaldimensions b and h is pin-supported at ends A and C(see fig...

A: Cross-Sectional Dimensions b and h pin supported at A and CAB=L2BC=L2

Q: 2.34 Given that the magnitude of the moment of P about point A is 15 N. m, determine P.

A: The moment of any force about any point can be calculated using the formula given below as- M=Fd whe...

Q: Consider a steady, fully developed flow in a horizontal pipe of diameter 80 mm. Over a section of le...

A: Answer: The average wall shear stress over this section is 100 N/m2.

Q: Plunger (weightless) Area is 0.003 m² piston mass 1000 kg , area of piston is 0.3 m² density of oil ...

A: Area of Plunger, A2=0.003 m2Mass of piston, M1=1000 kgArea of piston, A1=0.3 m2Density of oil, ρo=75...

Q: (a) For the simply supported beam calculate the reactions at the supports. (2x5 = 10 /) 7 kN 3 kN UD...

Q: If an oil with density of 800 kg/m³ (instead of mercury as Torricelli did) is used to measure atmosp...

A: Find the hight of tube . Given data:- Density of oil = 800kg/sec

Q: Which of the following statements are true? Select all that apply. O a. Pressure increases in a hori...

A: Find the effect of pump and turbine on pressure and velocity.

Q: For a drilling operations, the feed per revolution is 0.08 mm / rev and the spindle speed is 7,683.0...

Q: Select three (3) topics, preferably engineering in nature, and write the rescarch questions in each ...

A: I generally battle with research questions/speculation while composing awards in designing. How abou...

Q: The steel shaft of a socket wrench has adiameter of 8.0 mm and a length of 200 mm (seefigure).If the...

A: Given Data The diameter of the shaft is: d=8×10-3 m The length of the shaft is: L=200×10-3 m The al...

Q: 6. Symmetric Matrix 7. Diagonal Matrix 8. Square Matrix 9. Scalar Matrix 10. Triangular matrix

A: Type of matrices become relevant while carrying out operations using MATLAB. Each matrix would have ...

Q: 2. At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air...

A: iven: v = 10 m/s density = 1.25 kg/m3 diameter = 60 m

Q: Why must the rear wheels of an automobile move at different speeds when cornering?

A: To find :- Reason why rear wheels move at different speed while cornering.

Q: onvert these ortographic views to isometric. Given are the length for you to visualize.

A: Please refer the following image for the isometric view of the given orthographic views.

Q: Determine the resultant of the parallel noncoplanar force system, as shown in the figure, and calcul...

Q: A 13 lb. 3 ft by 3 ft square plate is loaded as shown. The force Fc is 30 Ibs at a = 37°. The force ...

A: Find the equivalent force and moment at point A and B

Q: - Air at 105 kPa and 37°C flows upward through a 6-cm-diameter inclined duct at a rate of Q (L/s). T...

Q: The slotted arm OA rotates about point O with constant angular velocity 0. The motion of the pin B i...

A: Given: velocity in the vector form:→v=r˙er+rθ˙eθ and acceleration in the vector form→a=r¨-rθ˙2er+rθ¨...

Q: 6. The rigid bar ABC of negligible weight is suspended from three aluminum wires, each of cross-sect...

A: The largest safe value of P is, P = 9966.67 lb.

Q: On most vehicles, the automatic adjuster cablesor levers are ___.a. installed on the secondary shoeb...

A: Given Data : Automatic adjuster cables

Q: A bar AB having a length L and axial rigidityEA is fixed at end A (see figure). At the other end,a s...

A: The elongation in the bar due to axially applied tensile force can be calculated using the formula g...

Q: The cantilever beam AB shown in the figurehas an extension BCD attached to its free end.A force P ac...

Q: The 20 mm diameter steel shaft AB is attached into the rigid wall at B and supported by a smooth bea...

A: Answer: The downward force P is 1212.85 N.

Q: The beam is constructed from two boards fastened together at the top and bottom with three rows of n...

A: Given Data: Number of nails, n=3 Space between nails, s=4 in

Concept explainers

Automation in manufacturing processes

The term automation refers to the technique through which the creation of an apparatus takes place using an automatic process or a system. Let us try to understand this with an example.

Question

100%

I only need problem number 64 I'm having trouble

Problems 4.63 through 4.65
A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a
14 ft chute inclined at 35°. The surface of the chute has a coefficient of kinetic friction u.
and at its lower end, it smoothly lets the crate onto a horizontal trajectory. The horizontal
surface at the end of the chute has a coefficient of kinetic friction u2. Model the crate
as a particle, and assume that gravity and the contact forces between the crate and the
sliding surface are the only relevant forces.
14 ft
MK2
35°
5 ft
Figure P4.63-P4.65

Mk2
k
Mww
35°
5 ft
Figure P4.63-P4.65
Problem 4.63 If u = 0.35, what is the speed with which the crate reaches the bottom
of the chute (immediately before the crate's trajectory becomes horizontal)?
Problem 4.64 Find u such that the crate's speed at the bottom of the chute (immedi-
ately before the crate's trajectory becomes horizontal) is 15 ft/s.
= 0.5 and suppose that, once the crate reaches the bottom of
Problem 4.65 Let uk
the chute and after sliding horizontally for 5 ft, the crate runs into a bumper. If the weight
of the crate is W = 110lb, Hk2 = 0.33, modeling the bumper as a linear spring with
constant k, and neglecting the mass of the bumper, determine the value of k so that the
crate comes to a stop 2 ft after impacting with the bumper.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a 14 ft chute inclined at 35◦. The surface of the chute has a coefficient of kinetic friction μk, and at its lower end, it smoothly lets the crate on to a horizontal trajectory. The horizontal surface at the end of the chute has a coefficient of kinetic friction μk2. Model the crate as a particle, and assume that gravity and the contact forces between the crate and the sliding surface are the only relevant forces. Using conservation law methods, if μk= 0.35, what is the speed with which the crate reaches the bottom of the chute (immediately before the crate’s trajectory becomes horizontal)?
Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?
Calculate the expected acceleration (Eq. 2) and the experimental acceleration (Eq. 3). This hanging mass will supply the unbalanced (net) force acting on the cart. The track is assumed to be frictionless, so the only force present is that from the hanging mass. m1 (hanging mass), m2 (cart).
Block A (m = 5 kg), seen in the figure, sits on a smooth surface and is attached by a slender rod to a ball-and-socket joint at B. If the moment and force shown are simultaneously applied to the block, what will the speed of the block be after 4 seconds (starting from rest)?
A truck with mass m=1000kg is traveling around a circular curve of radius r=835m when it starts to rain. The coefficient of static friction between the road and the tires is μdry=0.63 when dry, and it is μwet=0.15. The road is level, and the curve is unbanked. (a) When conditions are dry, what is the maximum tangential speed, in meters per second, at which the truck can take the corner at without slipping? 61.74 is wrong. (b) When conditions are wet, what is the maximum tangential speed, in meters per second, without slipping?
A man pulls up box of mass 70kg using an inclined plane of effective length 5m onto a platform 2.5m high at uniform speed. If the frictional force between the box and the plan is 100N draw the diagram of all the forces acting on the box when in motion and calculate the (a) minimum effort applied in pulling up the box (b) velocity ratio of the plane (c) machanical advantage of the plane
Show the complete solution. Put notes on steps. The wooden block (mass m = 0.6165 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle 0 = 45°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block.NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
To climb a 400 meter high mountain, you have two options, a straight line route with a 40 ° slope or a route composed of 5 equal sections (same length) each with a 20 ° slope. If traveling in a car with a mass of 1280 kg and a maximum power of 88 kW, Determine (assume the whole car as a particle): a) Is the friction enough to prevent the car from sliding? The coefficient of static friction of the tires with the ground is 0.95. b) What is the power required to climb the 40 ° slope at a constant speed of 40 km / h? Does the car have enough power to go up at that speed? c) What is the constant speed at which the 40 ° slope can be climbed with a 60 kW power? d) What is the power required to climb a 20 ° slope at 40 km/h? Does the car has enough power to go up at that speed? e) In which of the two trajectories does the car do more work? Ignore the resistance of the air and rolling resistance and radius of curves between sections of the compound route. Please add the free body diagram.
A highway is designed for traffic moving at 65 mph. There is a portion of the highway that the radius of a curveis 900 ft. The curved is banked shown below so that no friction is required to keep cars on the road. Find,a. The required banking angle θ of the road so that no friction is required.b. The minimum coefficient of friction between the tires and the road that would keep traffic from skidding atthis speed if the curve is not banked.
In a modified version of the cart and bucket, the angle of the slope is alpha = 34.9∘ and the bucket weighs 295 N. The cart moves up the incline and the bucket moves downward, both at constant speed. The cable has negligible mass, and there is no friction. What is the weight of the cart?What is the tension in the cable?
Bicycle wheels are manufactured having thin rims and tires of total mass D per unit length, and the spokes and axle may be ignored. Find the angular momentum of one bicycle wheel of radius r when the bicycle is traveling at velocity v, and hence comment upon whether you would prefer large wheels or small wheels to make a bicycle easiest to balance when riding it.
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m / s? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system