ticle parallel e is removed. (12 marks) 8N e normal the plane, on. now d ll be 2g N the e as is moving. ate: box at the instant the force is removed (3 marks) b the length of time it takes the box to come to rest from the instant the force is removed. 6 A particle of mass mkg is sliding down a rough slope inclined at an angle of 0 to the horizontal. The coefficient of friction between the particle and the slope is μ. Show that the acceleration of the particle is given by a = g(sin 0 - μcos) A sled of mass 500 kg sits at rest on a rough slope that is inclined at 10° to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. (3 marks) (4 marks) TN 500 kg 10° The sled is modelled as a particle, and the wire is modelled as a light inextensible string. a Find the maximum possible value of T. (6 marks) the slope. A load of mass mkg is added to the sled, and the tension in the wire is increased to 5000 N in order to pull the sled and load up (3 marks) mkg 5000 N 500 kg 10% Given that the sled and load are pulled a distance of 100 m in 80 seconds, b work out the value of m. ed to of the king Problem solving Set A Bronze A box of mass 3 kg sits at rest on a rough horizontal surface. The coefficient of friction between the surface and the box is 0.15. A horizontal force of 6N is applied to the block. to show all the forces acting on the box. (2 marks)

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 µs = 0.603, and the kinetic friction coefficient is = 0.403. The combined mass of the sled and its load is m = 336 kg. The ropes are separated by an angle o = 25.0°, and they make an angle 0 = 31.1° 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/s2

10:56 MENU A. 130N ● Two crewmen pull a raft through a lock, as shown in Figure below. One crewman pulls with a force of 130 N at an angle of 34° relative to the forward direction of the raft. The second crewman, on the opposite side or the lock, pulls at an angle of 45°. With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction? B. 130N C. D. 130N 130N E. 130N III 45° 34% 130 N cos34⁰ sin45⁰ sin 34⁰ cos450 sin 34⁰ sin45⁰ sin45⁰ sin34⁰ cos34⁰ cos45⁰ VO) 4G | 46 | 71% O myExams <

An 5.2 kg wooden block is held against a wall with force (Fx) = 9.8 N.  The friction coefficient between the two surfaces (µ)=0.50.  Determine the acceleration of the block if a upward force of 36.0 N is applied.  Use positive for an upward acceleration and negative for a downward acceleration.

An early submersible craft for deep-sea exploration was raised and lowered by a cable from a ship. When the craft was stationary, the tension in the cable was 6500 N. When the craft was lowered or raised at a steady rate, the motion through the water added an 1800 N drag force.  What is the weight of the rider?

A 25.0 kg box of textbooks rests on a loading ramp that makes an angle αα with the horizontal. The coefficient of kinetic friction is 0.250, and the coefficient of static friction is 0.350   As α is increased, find the minimum angle at which the box starts to slip. Express your answer in degrees.

A 2.220 kg block of wood rests on a steel desk. The coefficient of static friction between the block and the desk is µs = 0.605 and the coefficient of kinetic friction is µ = 0.255. At time t = 0, a force F = 8.10 N is m Us,k applied horizontally to the block. State the force of friction applied to the block by the table at times t = 0 and t > 0. t = 0 N t > 0 N Consider the same situation, but this time the external force F is 16.3 N. Again, state the force of friction acting on the block at times t = 0 and t > t = 0 N t > 0 N * TOOLS x10

A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?

A 1500-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are uk = 0.450 and us = 0.650. The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? %3D W= ? Crate 22.0° Ramp 30.00

. A 25kg wooden plate is held in place by two strings attached to the ceiling and the wall. The string attached to the ceiling makes an angle 40° with the horizontal and the string attached to the wall makes 90° with the wall. Determine the force in each string.