A wedge of mass M rests on a rough horizontal surface with coeﬃcient of friction µ....

A wedge of mass M rests on a rough horizontal surface with coeﬃcient of friction µ. The face of the wedge is a smooth plane inclined at an angle θ to the horizontal. A mass A hangs from a light string which passes over a smooth peg at the upper end of the wedge and attaches to a mass B which slides without friction on the face of the wedge.

(i) Find the accelerations for the masses A and B, and the tension in the string when µ is very large.
(ii) Find the smallest coeﬃcient of friction for which the wedge will remain at rest.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A block with the mass M slides with no friction on a horizontal surface (no friction)...

A block with the mass M slides with no friction on a horizontal surface (no friction) with speed x when it collides and sticks to the second block with also mass M that is attached to a third block with mass M via an ideal spring with spring constant k. Before collision, spring has its natural length and the blocks attached to it are at rest. Find an expression for the maximum kinetic energy of the third block post collision...

A crate of mass 100.0 kg rests on a rough surface inclined at an angle of...

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 80% of that for the static case a. What is the...

A block of mass m = 1.0 kg sliding along a rough horizontal surface is traveling...

A block of mass m = 1.0 kg sliding along a rough horizontal surface is traveling at a speed v0 = 10.0m/s when it strikes a massless spring head-on (see figure) and compresses the spring a maximum distance X =0.25m. If the spring has stiffness constant k = 100. N/m, determine the coefficient of kinetic friction between block and surface.

A block of mass 5 kg rests on a 30° inclined plane. The surface is rough....

A block of mass 5 kg rests on a 30° inclined plane. The surface is rough. The coefficient of friction between the surface and the block is 0.5. Find the frictional force exerted by the plane on the block. (N)

Block B of mass 46.75-kg rests as shown on the upper surface of a 22.07-kg wedge A.

Block B of mass 46.75-kg rests as shown on the upper surface of a 22.07-kg wedge A. Assume that the system is released from rest and neglect the friction. Determine the acceleration of B. The magnitude of acceleration at B is _______

A textbook of mass 2.00kg rests on a frictionless, horizontal surface. A cord attached to the...

A textbook of mass 2.00kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.100m , to a hanging book with mass 2.98kg . The system is released from rest, and the books are observed to move a distance 1.15m over a time interval of 0.850s

A block of mass m1=6.6 kg rests on a frictionless horizontal surface. A second block of...

A block of mass m1=6.6 kg rests on a frictionless horizontal surface. A second block of mass m2=9.4 kg hangs from an ideal cord of negligible mass, which runs over an ideal pulley and then is connected to the side of the first block. The blocks are released from rest. How far will block 1 move during the 1.1 second interval?

A mass m = 16 kg is pulled along a horizontal floor with NO friction for...

A mass m = 16 kg is pulled along a horizontal floor with NO friction for a distance d =8.4 m. Then the mass is pulled up an incline that makes an angle ? = 25

A bowling ball of mass m and radius r has a coefficient of static friction µ...

A bowling ball of mass m and radius r has a coefficient of static friction µ when in contact with an oiled wood surface. Model the ball as a solid uniform sphere. The surface is inclined at an angle θ with respect to the horizontal. What is the maximum angle of inclination of the surface such that the ball rolls without slipping? How does the angle change if the ball is now a hollow shell with all its mass concentrated...

A mass of 8 kg rests on a floor with a coefficient of static friction of...

A mass of 8 kg rests on a floor with a coefficient of static friction of 0.88 and coefficient kinetic friction of 0.33. One force is applied vertically downward of 28 Newtons and another force is applied at an angle of 26 degrees below the horizontal. Calculate what the magnitude this force needs to be in order to begin to move the mass. If that force is removed and another force is applied at an angle of 26 degrees above...

Subjects