A block is projected up a rough inclined plane with an initial velocity . The coefficient of kinetic friction between the block and the plane is . The block travels a distance up the plane before coming to rest. What is the angle of inclination of the plane?
Related Questions
A block of mass is placed on a rough inclined plane with an angle of inclination . The coefficient of static friction between the block and the plane is . A horizontal force is applied to the block. For what range of values of will the block remain at rest?
mg(sinθ - μs cosθ)/(cosθ + μs sinθ) ≤ F ≤ mg(sinθ + μs cosθ)/(cosθ - μs sinθ)
mg(sinθ - μk cosθ)/(cosθ + μk sinθ) ≤ F ≤ mg(sinθ + μk cosθ)/(cosθ - μk sinθ)
F ≤ mg(sinθ + μs cosθ)/(cosθ - μs sinθ)
F ≥ mg(sinθ - μs cosθ)/(cosθ + μs sinθ)
A block of mass 5 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. If the coefficient of static friction between the block and the plane is 0.4, determine the force parallel to the incline needed to just start moving the block up the plane. (Take g = 9.8 m/s²).
24.5 N
34.3 N
41.47 N
48.5 N
A block is projected up a rough inclined plane with an initial velocity . The coefficient of kinetic friction between the block and the plane is . The block travels a distance up the plane before coming to rest. What is the angle of inclination of the plane?
A block of mass 2 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction is 0.6. If a force F is applied parallel to the inclined plane in the downward direction, what is the minimum value of F required to start the motion of the block down the plane?
0.38 N
9.8 N
10.18 N
0 N
A block is placed on an inclined plane of angle . The coefficient of static friction between the block and the plane is . What is the maximum angle of inclination for which the block will remain at rest?
A block of mass 2 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction is 0.6. If a force F is applied parallel to the inclined plane in the downward direction, what is the minimum value of F needed to start the motion of the block downward?
0.38 N
9.8 N
10.18 N
0 N
A crate weighing 10 kg rests on a flat loading ramp. The coefficient of static friction between the crate and the ramp is 0.5. What is the minimum force required to initiate the crate's movement up the ramp, assuming the ramp is inclined at an angle of 30° to the horizontal?
73.55 N
91.44 N
49 N
42.44 N