If an object is on a ramp inclined by \theta θ and the object remains at...

If an object is on a ramp inclined by \theta θ and the object remains at rest, which of the following is true? Select all correct answers.

The frictional force is zero.

The frictional force is equal to mg sin \theta mgsinθ and is directed down the slope.

The frictional force is equal to mg sin \theta mgsinθ and is directed up the slope.

The frictional force is equal to \mu_s mg cos \theta μsmgcosθ and is directed up the slope.

The frictional force is equal to \mu_k mg cos \theta μkmgcosθ and is directed up the slope.

Solutions

Expert Solution

Hey there!

The horizontal and vertical component of the block is marked in the diagram. is the angle of inclination and N is the normal force acting. In that case the frictional case is said to be acting in a direction opposite to that of the direction the block slants to hold the block in place. Here we could see that the block tends to slope down and hence the frictional force acts upwards and keeps the block at rest.

The frictional force acting can be given as

where is the coefficient of static friction

genius_generous answered 1 year ago

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