Question

In: Physics

A 336-kg crate rests on a surface that is inclined above the horizontal at an angle...

A 336-kg crate rests on a surface that is inclined above the horizontal at an angle of 17.2°. A horizontal force (magnitude = 405 N and parallel to the ground, not the incline) is required to start the crate moving down the incline. What is the coefficient of static friction between the crate and the incline?

Expert Solution

Given,

The mass, m = 336 kg

An angle, = 17.2 ^o

The force, F = 405 N

The weight, W = mg

= 336 * 9.8

= 3292.8 N

The force on the crate parallel, F_p = W sin + F cos

The normal force, F_n = W cos - F sin

The coefficient of static friction, = F_p / F_n

= (W sin + F cos ) / (W cos - F sin )

= [3292.8 * sin (17.2) + 405 * cos(17.2 )] / [3292.8 * cos(17.2) - 405 * sin (17.2)]

= (973.71 + 386.89) / (3145.54 - 119.76)

= 1360.6 / 3025.78

= 0.45

genius_generous answered 6 months ago

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 4.00-kg block rests on an inclined plane that has an inclination angle of 31.3o. A...

A 4.00-kg block rests on an inclined plane that has an inclination angle of 31.3o. A string attached to this block, goes uphill and over a frictionless pulley, and then is attached to a hanging block of mass M. The inclined plane has coefficients of friction μs = 0.22 and μk = 0.13. Draw a real world picture of this scenario. Draw the free body diagrams for each of the blocks. Show how to determine the mass M that will...

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)

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

A 2.00 kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.130 m, to a hanging book with mass 3.20 kg. The system is released from rest, and the books are observed to move 1.20 m in 0.850 s. Part A.) What is the tension in the part of the cord attached to the textbook? Part B.) What is the tension in the part of the cord attached...

A textbook of mass 2.06 kg rests on a frictionless, horizontal surface. A cord attached to...

A textbook of mass 2.06 kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.100 m , to a hanging book with mass 2.99 kg . The system is released from rest, and the books are observed to move a distance 1.24 m over a time interval of 0.750 s. a) What is the tension in the part of the cord attached to the textbook? b) What is the...

A 46.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial...

A 46.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 142 m/s from the top of a cliff 150 m above level ground, where the ground is taken to be y = 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) J (b) Suppose the projectile is traveling 100.6 m/s at its maximum height of y = 360 m. How...

A 40.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial...

A 40.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 134 m/s from the top of a cliff 132 m above level ground, where the ground is taken to be y = 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) J (b) Suppose the projectile is traveling 95.0 m/s at its maximum height of y = 319 m. How...

A firework of mass 0.25 kg is launched at an angle of 75o above the horizontal,...

A firework of mass 0.25 kg is launched at an angle of 75o above the horizontal, pointing due west. The initial speed of the firework is 69 m/s. At the top of its trajectory, it explodes into two pieces of equal mass. One of the pieces takes 2.1 s to fall to the ground, and lands on the ground a distance of 53 m due west from the launch position. Neglect air resistance. (a) Find the velocity of both pieces...

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 38.0-kg crate is being pushed along a horizontal surface. The applied force is 94.0 N...

A 38.0-kg crate is being pushed along a horizontal surface. The applied force is 94.0 N directed at an angle of 18.0° below the horizontal and the coefficient of friction is .21. a) Draw a free body diagram for the crate. b) Write expressions for the x and y components of the applied force (no numbers). c) Sum forces in the x and y direction (no numbers). d) Solve: What is the acceleration of the crate?