In the figure, a slab of mass m, = 40 kg rests on a frictionless floor, and a block of mass m, = 9 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F of magnitude 102 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab? u =0 (a) Number -7.4 Unitsm/s^2 -7.4 (b) Number T-0.88 Units m/s^2 Click if you would like to Show Work for this question: Open Show Work SHOW HINT

In the figure, a slab of mass m, = 40 kg rests on a frictionless floor, and a block of mass m, = 9 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F of magnitude 102 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab? u =0 (a) Number -7.4 Unitsm/s^2 -7.4 (b) Number T-0.88 Units m/s^2 Click if you would like to Show Work for this question: Open Show Work SHOW HINT

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 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...

See similar textbooks

Similar questions

Mason is is trying to keep a door open using a door stopper. That door is solid, and it has a mass of 18.3kg. The door closer is connected 26.2cm away from the hinge, and pulls with a force of 123N. The door stopper provides a static friction force of 13.2N, and a kinetic friction force off 11.8N. Find the angular acceleration (as a vector) of the door.
- A double-pulley system, as in the right figure above, has masses m1 = 2.00 kg, m2 = 1.20 kg, and m3 = 0.800 kg. (a) What are the accelerations of all the masses? (b) What are the tensions in all the ropes
A force P pulls a series of blocks initially at rest as shown in the figure where all cords are frictionless and incompressible, and all pulleys are frictionless. The 8-kg Block 1 is attached to a 5-kg Block 2. The coefficients of friction between Block 1 and the horizontal surface are 0.38 (static) and 0.27 (kinetic), while between Block 2 and the surface inclined at 28° are 0.40 (static) and 0.31 (kinetic). a. Determine the angle θ at thich Block 1 is being pulled to just get it moving if force P is 71.2 N. b. If the blocks are pulled with a force of 100 N at the same angle, how fast are the blocks moving after 3 seconds? c. What is the total distance travelled?
The AB rod is wanted to be pulled from the A end at the position shown in the figure with V_A constant speed (a_A = 0 m / s 2). Find the force F to satisfy this condition. In this case, what are the support reactions at A and B points? Ignore the mass and atalat moments (I) and friction forces of the wheels. V_A(m/s)= 0,80 mg(N)= 360 I(kg/m2) =2,6 AB(mm) = 810 AG(mm) = 420 a_A (m/s2)= 0
A box of mass m = 0.7 kg is attached to a rope which is wrapped around a physical pulley with a radius of R = 10.2 cm and a rotational inertia of I = 0.075 kg·m2. When the box is released it starts to fall down with a constant acceleration and, at the same time, the pulley starts to spin up, see the picture below. Assuming that the pulley is frictionless, what is the magnitude of the box's acceleration and what is the tension in the rope? The acceleration of the box, a ? The tension in the rope, T? If the box starts from rest and traveled downwards a distance of h = 28 cm, what is the speed of the box and what is the angular velocity of the pulley? The speed of the box, v =? The angular velocity of the pulley, ω? -------------------------------------------------------------- A Merry Go Round carousel has a radius of R = 2.4 m and a rotational inertia of I = 695 kg·m2. A 75‑kg student is on the carousel at the midpoint between the carousel's center and the rim (at R/2 distance from…
The 20 kg symmetrical barrel whose radius is 1m shown in the figure is positioned at rest on the 35 deg. inclined plane by a weight B suspended from a cable wrapped around the barrel. If slipping impends, find B and the coefficient of friction.
Consider a uniform ladder of length 4.3 m and mass 10 kg. The ladder is falling over, pivoting about the end that is touching the ground. Someone is pushing on the top end of the ladder with a horizontal force of size 415 N. At the instant when the ladder makes a 46 degree angle with the horizontal, calculate the net torque on the ladder about its bottom end, in N m. Make your answer positive, and use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)
In the figure above, blocks A and B have 50 and 10 kg respectively. It is given that thecoefficients of friction between all surfaces of contact are static friction=0.4 and kinetic friction=0.3.a) If P=0, determine the acceleration of B and the tension in the chord?b) If P=10, determine the acceleration of B and the tension in the chord?c) If P=100, determine the acceleration of B and the tension in the chord?
A block of mass M1 resting on an inclined plane is connected by a string and pulleys to another block of mass M2 as shown in Fig. Find the tension in the string and acceleration of the blocks. Assume the coefficient of friction between the blocks M1 and the plane to be 0.2. M1=1500N , M2=1000N . Angle of inclined glane = 45 degrees
Please reply as soon as posible, thanks! I don´t have much time:( Static Problem: The spool shown in the figure has a weight of WAB = 27,50 N, and its center of gravity is located at its geometric center O, the spool has a larger radius R=0,17 and an inner radius r=0,13, and it has a coiled rope. Block C has a uniform weight WC= 60 N. Consider the friction between block C and the top of the spool at A, between the spool and the surface at point B and between the rope and pulley D, the friction coefficients are respectively: μs@A=0,30, μs@B =0,45 and μs@D=0,35. The chord is parallel to the plane. Carry out: a) The free-body diagrams of the block and the reel. b) The calculation of the maximum value of P that can be applied without losing the equilibrium of the system.
The 10 N cylinder moves in a friction tube. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. The system rotates around a fixed z-axis. In the case where d = 0.12 m, what is the coefficient of friction for the cylinder to have a constant velocity of 9.825 m / s?
An engineer is designinga conveyor system for loading haybales into a wagon (Fig.).Each bale is 0.25 m wide, 0.50 mhigh, and 0.80 m long (the dimensionperpendicular to the plane ofthe figure), with mass 30.0 kg. Thecenter of gravity of each bale is atits geometrical center. The coefficientof static friction between abale and the conveyor belt is 0.60, and the belt moves with constantspeed. (a) The angle b of the conveyor is slowly increased. At somecritical angle a bale will tip (if it doesn’t slip first), and at some differentcritical angle it will slip (if it doesn’t tip first). Find the twocritical angles and determine which happens at the smaller angle. (b)Would the outcome of part (a) be different if the coefficient of frictionwere 0.40?