A 10kg monkey climbs a uniform ladder with weight 120N and length 3m as shown in the figure. The ladder rests against the wall at an angle=60 degrees . The upper and lower ends of the ladder rest on frictionless surfaces, with the lower end fastened to the wall by a horizontal rope that can support a maximum tension of only 80N. (a) Draw a free body diagram for the ladder. (b) Find the normal force exerted on the bottom of the ladder. (c) Find the tension in the rope when the monkey is two-thirds of the way up the ladder. (d) Find the maximum distance that the monkey can climb the ladder before the rope breaks. (e) If the horizontal surface were rough and the rope were removed, how would your analysis of the problem be changed and what other information would you need to answer parts (c) and (d)?

A small box with a weight of 35.0 N is placed on top of a larger box that has a weight of 80.0 N. The system of two boxes is at rest on a horizontal surface (the larger box is in contact with the surface). You apply an additional downward force of 30.0 N to the top of the small box by resting your hand on it. For this problem, use g = 10 N/kg. (a) What is the magnitude of the force exerted on the large box by the small box? (b) What is the magnitude of the force exerted on the large box by the surface? Now, imagine that the horizontal surface is the floor of an elevator, and the boxes are in the elevator, which has an acceleration directed downward of 1.00 m/s?. (c) What is the magnitude of the force exerted on the large box by the small box in this case? (d) What is the magnitude of the force exerted on the large box by the surface in this case? N

A block of mass mt =4.0 kg is put on top of a block of mass mb 5.0 kg.To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 12 N must be applied to the top block.The assembly of blocks is now placed on a horizontal, frictionless table. Find the magnitudes of (a) the maximum horizontal force that can be applied to the lower block so that the blocks will move together and (b) the resulting acceleration of the blocks.

When a person stands on tiptoe on one foot (a strenuous position). The total gravitational force Fg on the body is supported by the normal force n exerted by the floor on the toes of one foot. A mechanical model of the situation is made, where T is the force exerted on the foot by the Achilles tendon and R is the force exerted on the foot by the tibia. Find the values of (a) T, (b) R, and (c) 0 when Fg = 700 N.

A sledge, of mass 15 kg, rests on a snow slope which makes an angle of 28◦ with the horizontal. A person is pushing on the back of the sledge with a force of 80 newtons, parallel to and up the slope. One end of a rope is attached to the front of the sledge. This rope is held taut by a child. The rope makes an angle of 20◦ with the upward slope. The child is pulling the rope with a force of 25 newtons and the sledge is on the point of slipping up the slope. Take the unit vector i to be in the direction up the slope and the unit vector j to be in the direction perpendicular to the slope and upwards. Express the forces in component form, in terms of unknown magnitudes where appropriate. Hence find the coefficient of static friction between the sledge and the snow, to two significant figures.

The figure below shows a block weighing 22 N in contact with a vertical wall. Two forces are applied to the block, in addition to gravity, a horizontal force F of magnitude 60 N which pushes the block against a vertical wall and a force P of magnitude 62 N which pushes upward on the bottom of the block parallel to the wall. The coefficient of static friction between the wall and the block is 0.55 and the coefficient of kinetic friction between them is 0.38. Is the frictional force acting on the block static or kinetic, what is its magnitude and in what direction does it point? F P

A 10.0 kg mass is at rest on a board inclined at an angle of 30.0o above the horizontal. The mass is held in place by the combination of static friction and the 10.6 N tension in a cord attached to the mass on the uphill side, and running parallel to the board. Find the coefficient of static friction (s) between the mass and the board.

ment Chapter 05, Problem 007 There are two forces on the 1.82 kg box in the overhead view of the figure but only one is shown. For F, = 20.0 N, a = 13.5 m/s², and 0 = 21.5°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i + jUnits (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Work SUBMIT ANSWER SAVE FOR LATER Question Attempts: 0 of 10 used

A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static friction between the sled and the ground is u, = 0.619, and the kinetic friction coefficient is µ = 0.467. The combined mass of the sled and its load is 336 kg. The ropes are separated by an angle ø = 22.0°, m = and they make an angle e = 31.8° with the horizontal. Assuming both ropes pull equally hard, what is the minimum rope tension required to get the sled moving? minimum rope tension: N If this rope tension is maintained after the sled starts moving, what is the sled's acceleration? acceleration: m/s?

A block is pressed against a vertical wall by a force F, as the drawing shows. F This force can either push the block upward at a constant velocity or allow it to slide downward at a constant velocity. The magnitude of the force is different in the two cases, while the directional angle e is the same. Kinetic friction exists between the block and the wall, and the coefficient of kinetic friction is 0.300. The weight of the block is 57.0 N, and the directional angle for the force F is 0 = 35.0°. Determine the magnitude of when the block slides (a) up the wall and (b) down the wall. (a) P= i (b) P= i