A box with mass m is placed on top of a box with mass 2m as shown in the figure. An external force F (t) = αt, where α is a positive constant, acts on the bottom block and causes it to accelerate from rest at t = 0. The two blocks have coefficient of static friction μ between them, and the bottom box slides on a frictionless surface. At what time will the top block begin to slide relative the bottom block?

Block A, with mass mA, is initially at rest on a frictionless horizontal floor. Block B, with mass mB, is initially at rest on the horizontal top surface of A. The coefficient of static friction between the two blocks is μs. Block A is pulled with a horizontal force. What is the minimum magnitude of the force that causes Block A to slide out from under B? Write the expression in terms of the given variables.
A 15 kg box, initially at rest, slides down a frictionless ramp 10 m high. (a) Compute the velocity of the box as it reach the bottom of the ramp. (b) If it continuously slide horizontally in a horizontal plane with a coefficient of friction μ,-0.15, how far from the bottom of the ramp would it slide before coming into a complete stop? 1.
A horizontal force F is applied to a small block of mass
m1 to make it slide along the top of a larger block of
mass m2 and length L. The coefficient of kinetic
friction between the blocks is µ. The larger block slides without
friction along a horizontal surface. The blocks start from rest
with the smaller block at one end of the larger block.
a) Label all the forces acting on each block.
b) Find the acceleration of...
A box with a mass of 8.67 kg slides up a ramp inclined at an angle of 28.3° with the horizontal. The initial speed is 1.66 m/s and the coefficient of kinetic friction between the block and the ramp is 0.48. Determine the distance the block slides before coming to rest. m As shown in the figure below, a box of mass m = 35.0 kg is sliding along a horizontal frictionless surface at a speed vi = 5.55 m/s...
mi m2 Two wooden crates rest on top of one another. The smaller top crate has a mass of my = 24 kg and the larger bottom crate has a mass of m2 = 87 kg. There is NO friction between the crate and the floor, but the coefficient of static friction between the two crates is Hs = 0.82 and the coefficient of kinetic friction between the two crates is Mk = 0.64. A massless rope is attached to...
I need the answer for #5 only
m m2 Two wooden crates rest on top of one another. The smaller top crate has a mass of my = 24 kg and the larger bottom crate has a mass of m2 = 87 kg. There is NO friction between the crate and the floor, but the coefficient of static friction between the two crates is Hs = 0.82 and the coefficient of kinetic friction between the two crates is Mk =...
m A box rests on top of a flat bed truck. The box has a mass of m = 16 kg. The coefficient of static friction between the box and truck is is = 0.82 and the coefficient of kinetic friction between the box and truck is Hk = 0.64. 1) The truck accelerates from rest to Vp = 19 m/s in t = 13 s (which is slow enough that the box will not slide). What is the acceleration...
As shown below (not to scale), a block of mass starts from rest
and slides down a frictionless ramp of height h. Upon reaching the
bottom of the ramp, it continues to slide across a flat
frictionless surface. It then crosses a "rough patch" on the
surface of length d=10m. This rough patch has a coefficient of
kinetic friction uK=.1. After crossing the rough patch, the block's
final speed is vf=2m/s. What is the height of the ramp? Hint: I...
. A small mass m starts from rest and slides from the top of a fixed sphere of radius r (b) Suppose there is friction between the mass and the sphere with friction coefficient μ,-0.1. what is the minimum angle Emin at which the mass will start to slide along the sphere? (c) The mass is now placed just past this minimum angle and released. The coefficient of kinetic friction k is small but not zero. Does the mass fly...
A 3.00-kg block is placed on top of a 12.0-kg block that rests on a frictionless table. The coefficient of static friction between the two blocks is0.500. What is the maximum horizontal force that can be applied before the 3.00-kg block begins to slip relative to the 12.0-kg block, if the force is applied to each of the following? (a) Find the acceleration with which Robin is pulled upward. (b) Find the tension in the rope while Robin escapes.