25 kg A 30° Hg = 0.30 = 0.25 %3D B 30 kg
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The two objects are initially at rest. If the static and kinetic friction coefficients
between block A and the horizontal surface are as shown in the figure.
(a) Determine whether motion will occur when the objects are released from rest.
At some point, the velocity of cylinder B reaches 1.2 m/s. Calculate :
(b) The velocity and acceleration of block A.
c) The tension in the cable and the acceleration of cylinder B.
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- In the figure below, m, = 10.2 kg and m, = 3.6 kg. The coefficient of static friction between m, and the horizontal surface is 0.50, and the coefficient of kinetic friction is 0.30. (a) If the system is released from rest, what will its acceleration be? (Enter the magnitude of the acceleration.) m/s² (b) If the system is set in motion with m, moving downward, what will be the acceleration of the system? (Enter the magnitude of the acceleration.) m/s2Objects with masses m1 = 13.0 kg and m2 = 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m2falls 1.00 m in 1.37 s, determine the coefficient of kinetic friction between m1 and the table.A cat of mass 1 kg leaps to try to catch a bird. The cat's jump was at an angle of 60 degrees with an initial velocity of 3 m/s. Find the cats vertical displacement at the highest point of trajectory, the total time the cat was in the air, the horizontal velocity of the cat at its peak position and the total horizontal displacement of the cat,
- A woman pushes a block of mass m = 25.0 kg up a rough plane sloped at an angle of θ = 20◦ by using her hand. She pushes with a force of 150 N parallel to the surface of the incline which as a friction coefficient of 0.25. What is the normal force FN of the plane on the block? What is the force of friction fk acting on the block? What is the acceleration a of the block on the plane?A block accelerates at 4 m/s^2 down a rough ramp, inclined at 38 degrees. What is the coefficient of kinetic friction between the block and ramp? Include a sketch of the system (with a coordinate system) and a free body diagram.A 10.0 kg mass hangs from a rope, as shown in the figure. The rope passes over a fixed pulley, then under a movable pulley, and is attached to the ceiling as shown. The movable pulley has a mass m attached to it and moves at a constant speed. Find the tension in the rope. Assume that the masses of the pulleys are negligible.
- A block is sliding along a horizontal surface where the coefficient of kinetic friction is 0.5 between the two. If the block as initial velocity 15.0 m/s, how much time does it take for the block to come to rest?Calculate the maximum acceleration in m/S2 of a car with four wheel drive that heading up 13 deg slope ( one that makes any angle of 13deg with horizontal) under the following road conditions. Assume that the static coefficient of friction is involved that is, tires are not allowed to slip during the acceleration. A) on dry concrete B) on wet concrete c) on ice assume that Us= 0.100 the same as for shoes on ice.There are two blocks, A and B, of weight wa and wɛ (respectively). Block A and B are connected by a cable. Block A slides on an incline of angle o with coefficient of friction . Find the general expression for the position, velocity and acceleration of the blocks if they start with an initial velocity of v, and initial position of x, B Then calculate the distance the blocks move by the time the velocity reaches v, if the blocks are released from rest. Assume that wg= 2wj- Ans. Xy = 2g(2–sin p-µ,coS P)
- A 1000 kg car travels around a circular track at a constant speed. Draw the free-body diagram for the car as viewed from the front of the car. If the radius of the path is 200 m and the car is traveling at 25 m/s, What is the magnitude of the force keeping the car in a circular path? (Give answer to 3 sig figs)A(n) 19_kg mass is on an incline, with a = 4.5_m and b = 2.3_m. The coefficient of kinetic friction between the mass and the surface of the incline is µg = 0.36. If the mass is initially near the top of the incline and sliding down, then what is the mass's acceleration down the incline? m bCalculate the maximum acceleration (in m/s2) of a car that is heading down a 7.35° slope (one that makes an angle of 7.35° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involved—that is, the tires are not allowed to slip during the acceleration. (Ignore rolling friction. Assume the positive direction is down the slope. Indicate the direction with the signs of your answers.) (a) on dry concrete m/s2 (b) on wet concrete, assuming that ?s = 0.700 m/s2 (c) on ice, assuming that ?s = 0.100, the same as for shoes on ice m/s2