A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37 .0 ° with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is 8 0 % of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?
A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37 .0 ° with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is 8 0 % of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?
A crate of mass 100.0 kg rests on a rough surface inclined at an angle of
37
.0
°
with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is
8
0
%
of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?
A small box is held in place against a rough wall by someone pushing on it with a force directed upward at an angle of 260 above the horizontal. The coefficient of static and kinetic friction between the box and the wall are 0.40 and 0.30, respectively. The box slides down unless the applied force has a magnitude of 13 N. What is the mass of the box?
A box of banana weighing 40.0 N rests on a horizontal surface. The
coefficient of static friction between the box and the surface is 0.40,
and the coefficient of kinetic friction is 0.20.
(a) If no horizontal force is applied to the box and the box is at rest,
how large is the friction force exerted on the box?
(b) What is the magnitude of the friction force if a monkey applies a
horizontal force of 6.0 N to the box and the box is initially at rest?
(c) What minimum horizontal force must the monkey apply to start the
box in motion?
(d) What minimum horizontal force must the monkey apply to keep the
box moving at constant velocity once it has been started?
(e) if the monkey applies a horizontal force of 18.0 N, what is the
magnitude of the friction force and what is the box's acceleration?
A block (mass = 200.00 g) is placed on an inclined plane 45 degrees from the horizontal. The coefficient of static and kinetic friction between the block and the plane are 0.54 and 0.35, respectively. What is the frictional force between the block and the plane?
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