The 80lb plank shown in figure, rests on two cylindrical rollers with radius r each weighing 30lbs. Calculate the force P that will accelerate the plank up the incline at 6ft/s². Assume no slipping occurs either at the plank or at the incline.

The 80lb plank shown in figure, rests on two cylindrical rollers with radius r each weighing 30lbs. Calculate the force P that will accelerate the plank up the incline at 6ft/s². Assume no slipping occurs either at the plank or at the incline.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.6P

See similar textbooks

Related questions

Q: Water is pumped through a 500 mm diameter circular pipe which is 800 meters long at the velocity of…

A: Given data Diameter of pipe = d = 500 mm = 0.5 mLength of pipe = l = 800 mVelocity of flow = v = 2…

Q: A tall open-topped standpipe has an inside diameter of 2010 mm and a wall thickness of 6.7 mm. The…

A: Given data: d=2010 mmt=6.7 mmρ=1000 kg/m3 Need to determine the height h of water will produce a…

Q: Q3- resolve the horizontal 600lb force in figure into components acting along the u and axes and…

Q: The tank shown in Figure below is fabricated from t = 1/8 in steel plate. The maximum longitudinal…

Q: In the casting of steel under certain mold conditions, the mold constant in Chvorinov's Rule is…

A: Given:Cm=4.0 min/cm2l=30 cmw=10 cmt=20 mm

Q: * Given the FLEXURAL RIGIDITY of the beam shown=6000 KN.m^2, find the deflection :at the roller…

Q: Chapter Eight 8.21- Consider two rectangular surfaces perpendicular to each other with a common edge…

Q: A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three…

Q: (c) 5 1 -1 3

Q: Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. If F1 = 31…

A: F1=31 kipsF2=13 kipsF3=24 kipsF4=37 kips

Q: Which stress element below correctly shows the normal and stress at point 1 which is located at the…

Q: Air at 1 atm is flowing at a velocity of 1.5 m/s across a flat plate. The film temperature between…

Q: A closed cylindrical vessel contains a fluid pressure of P (Mpa). The cylinder has an inside…

Q: In rectilinear motion of a particle, the work is equal to the change in the .kinetic energy of the…

A: Work energy principle for rectilinear motion, For particle if it performs rectilinear motion under…

Q: 3 3 the density of palladium is 11.98 g/cm, lattice parameter is 0.3890 nm and atomic mass is 106.4…

Q: Just after launch from the earth, the space-shuttle orbiter is in the 36 x 162-mi orbit shown. At…

Q: Sketch and name the parts of manipulator? Give some example of robot End effector:

A: Introduction: Robotics is the design and operation of systems capable of doing physical tasks…

Q: The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is…

Q: The engine of car runs at 1200 rpm. Find the angular velocity of the engine in rad/s

A: Angular velocity of a rotating body/engine is defined as the change of angular displacement of the…

Q: Scotopic vision involves 1)poor illumination 2)only rods working 3)vision at night 4) all the…

Q: 6. Light of wavelength 304.2 nm illuminates a metal surface whose cutoff wavelength is 352.8 nm.…

Q: Problem #2. The state of stress at a point with ox, oy and txy as shown. Analyze the state of stress…

Q: QUESTION 2 P=670 lb a=1.5 in b=0.5 in. c= 1.0 in. d=2.0 in What is the average shear stress in the…

A: The average shear stress in the wood specimen: 335.00 psi

Q: if the coldworked radius is twenty mm, now what is the radius before being deformed if the ductility…

Q: at room temperature, Determine thermal stress when the bar is heate :110 dec A Lo Est = 200 Gpa ast…

A: E=200GPa

Q: B=61⁰ inside diameter = 890 mm wall thickness = 8.6 mm. gage pressure =1.24 MPa, Determine the…

Q: A circular steel disc of mass 10 kg and radius of gyration 200 mm is spinning about its axis, which…

A: The angular velocity of precession of the disc is 0.40 rad/sec.

Q: A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional…

A: Fro the given truss, Cross sectional area of each member = 3.3 in2 Maximum allowable stress = 25 ksi…

Q: Determine the speed v which the 525-kg four-man bobsled must have in order to negotiate the turn…

Q: If load P = 20.1 kips, determine the normal force in bar (1).

A: given data: P = 20.1 kips To find: normal reaction force from point D, RD = ?

Q: Q(2):Design an earthen trapezoidal channel for water having a velocity of 0.6 m/s. Side slope of the…

Q: The supply frequency is 50 Hz. What will be the rotor voltage frequency if the motor speed is equal…

A: The rotor voltage frequency is 5 Hz.

Q: 2. The BSFC of a Formula1 car engine is 0.3 kg/kWhr and requires 1 kg of fuel every second. Its…

Q: A two dimensional velocity field is 5 = 7 xy2 - by²Ĵ (a) Determine the fluid acceleration at x = 4,…

Q: for fuselage of an aircraft product How might you propose to fabricate this product? 5. Would the…

A: Given questions: For fuselage of an aircraft product How might you propose to fabricate this…

Q: * The beam shown supported by fix support from left side and a roller from the right side, and an…

A: Option (C) : M = 0 kN•m

Q: Given the value of moment of Inertia is=120 x 10^6 mm^4, and the modulus of elasticity of concrete=…

Q: For a given material, the Young's modulus is 2.8 times that of rigidity modulus. The Poisson's ratio…

A: When an amount of load act on the object it has the tendency to change the shape of the object, so…

Q: A two-cylinder R-134a compressor operating at 1500 rpm. The evaporator temperature is (-6°C) and the…

Q: 2 A 32m high down comar-tank exib high down comar-tank system operates at loobar. IF the quality of…

A: Given Volume, V = 32 m3 Initial pressure, P1 = 100 bar Quality, x = 0.5…

Q: The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces…

Q: A hydraulic fluid has a specific weight of 60 lb/ft3. What is its specific gravity SG? What is its…

Q: Determine the minimum number of passes required?

A: Given data; Assume that there is no change in width. Thickness of plate reduced from; 40 mm to 20…

Q: Find the Center of Mass of the point masses shown in the figure on the x-axis. Where M1 = 20 kg, M2=…

Q: A 32 m high down Comer-tank system operates lloo bar if the exit quality of the steam is what will…

Q: Prelab Exercises for Angular Motion 1. Draw a free-body diagram for mass M, while in motion (Fig.…

Q: 1. True or False: Write "T" or "F" in the space provided (1). Material properties depend on applied…

A: Given questions: (1) Material properties depend on applied loads(2) According to stress…

Q: An engine working on air-standard dual cycle has compression ratio 9.the pressure and temperature at…

A: Given data as per the question compression ratio = 9 Pressure at beginning =1 bar The temperature at…

Q: n a power plant, the steam from the boiler reaches the turbine at a temperature of 700 °C. The spent…

A: Given: The maximum temperature of the cycle , TH = 700°C=973K The minimum temperature of the cycle ,…

Q: Answer only e, f,g and handwritten. The unit should be in metric system. The fluid is heated from…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

PLANE MOTION AND ROLLING BODIES

The 80lb plank shown in figure, rests on
two cylindrical rollers with radius r each
weighing 30lbs. Calculate the force P
that will accelerate the plank up the
incline at 6ft/s². Assume no slipping
occurs either at the plank or at the
incline.
20°
Using the same figure above, if the force P is removed, compute the
acceleration of the plank.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 truck of mass 1 tonnes runs into a buffer stop having three buffer springs each of 15 kN/cm stiffness connected in parallel. Find the maximum compression of the springs, and the load if the wagon is travelling at 110 kmph. Equivalent Stiffness of spring in kN/mm is Kinetic Energy in kNmm The maximum compression of the spring in mm Load acting on the spring in kN is
A truck of mass 3 tonnes runs into a buffer stop having three buffer springs each of 40 kN/cm stiffness connected in parallel. Find the maximum compression of the springs, and the load if the wagon is travelling at 60 kmph. 1-Equivalent Stiffness of spring in kN/mm is 2-Kinetic Energy in kNmm is 3-The maximum compression of the spring in mm is 4-Load acting on the spring in kN is
A ladder with a length of L= 8 m and a mass of M=50 kg rests on a rough ground (providing friction) and on a roller without friction at the top of the wall at h= 5 m above the ground (see figure). The angle θin the picture is 60°, and the ladder is just about to slip. (A) Draw a force diagram whichshows all forces acting on the ladder.Take the force that the roller exerts to be perpendicular to the ladder. (B) Use a net torque equation to calculate the force that the roller exerts on the ladder. (C) Use net force equations to calculate the normal from the ground, the force of static friction, and the coefficient of static friction.
(b). A truck of mass 17 tonnes runs into a buffer stop having two buffer springs connected in series each of 1450 kN/cm and 2600 kN/cm stiffness respectively. Find the maximum compression of the springs, if the truck is travelling at 90 km/hr. Also calculate the load acting on the spring.
Calculate the rection forces when the radius of the pulleys are 0,1 m and K = 1200 N.
The frame in the figure is a counter-balance scale used for decades to offer products. Calculate the maximum and minimum weight L that this balance can support if the EFG bar measures 350 mm, the distance b is 200 mm, x varies between 10-400 mm and the mass of the counterweight S = 200 grams
in the system shown, the bar AB can withstand a tension of 4.90 kN, and a compression of 2.53 kN; the spring constant k is 2.85 kN / m, the spring's undeformed length is 0.433 m, the mass of W is 365 kg, and the force P makes an angle of 60 ° with the horizontal. Calculate the stretched length of the spring and the magnitude of the force P so that:- The bar fails due to tension- The bar fails due to compression NOTE 1: For the direction of the force P do not be guided by the drawing. The force P can point in any direction (all 4 quadrants) as long as it maintains the indicated angle with respect to the horizontal.
The figure below shows a stored shaft where bearing A is a cylindrical bearing and bearing O is a spherical roller bearing. There are two disks shrunk onto the shaft. Their diameters are 300 and 600 mm. a) Determine the force P such that the shaft rotates at a constant speed. b) Find the diameter of the shaft if σ_till is 100 MPa.
Find the support reacions and joint force of the construction shown on the figure, if; P=12 kN q=9 kN/m M=12 kN and L=2 m
A weight of 400 N is dropped through a height of 600 mm onto a closed coil compression spring which instantaneously compresses by 200 mm under the impact. The diameter. of spring wire is 25 mn and mean diameter of coil is 200 mm. Find maximum instantaneous stress produced by impact, and number of coil in spring take G=30 kN/mm¹.
An engineer trying to determine whether her crane will tip over when attempting to lift a 13K load. Her crane has a 15K chassis and 35K counterweight. Assume all other parts of the crane have negligible weight. Answer all questions relative to the rotation point. How much torque is caused by the load? How much torque is caused by the chassis? How much torque is caused by the counterweight? What is the normal force on the rear (right) outriggers? What is the normal force on the front (left) outriggers? *each box in picture = 5 ft
A plank 25 meters long is placed on rough inclined planes at an angle of 15 ̊ with the horizontalas shown in Figure 3. The angle of friction is ∅ = 15° at both inclines. If the weight of the plank is W= 350 N concentrated at 12 meters from end A, compute the minimum distance x from B at which aload P = 75 N can be placed before slipping impends.