Free body diagrams and friction

A block is at rest on a rough plane inclined at an angle q relative to the horizontal.

The angle is slowly reduced. Which one of the following options correctly describes the changes, if any, in the frictional force F and the coefficient of static friction between the block and the plane?

 

Force F

Coefficient of friction
 a

decreases

increases
 b

decreases

unchanged
 c

increases

increases
 d

increases

unchanged

Answer


Two unequal masses m and M are connected with light cord over a pulley with negligible mass.

When released the system accelerates.

Ignoring friction which figure at right best shows the correct free body diagrams for the two masses in the moving system?

Answer


An amusement park ride sometimes called 'the fly' is a large cylinder which can rotate. A person stands against the wall, and after the cylinder is rotating at a certain rate the floor drops away. The person remains 'stuck' in position against the wall - like a fly.

Which one of the diagrams at right is the correct free-body force diagram showing all the forces acting on the person when the person is in the position shown above?

Answer


Raindrops fall with constant speed during the latter stages of their descent because....

a ... the gravitational force is the same for all drops.

b ... air resistance just balances the force due to gravity.

c ... the drops all fall from about the same height.

d ...the force of gravity is negligible for objects as small as raindrops.

Answer


A force P directed up a plane, of angle Q to a horizontal, prevents a block of mass M from sliding down, as shown in the diagram.

If the coefficient of static friction between the block and the plane is m. The minimum magnitude of the force P is

a Mg sinq

b Mg (sinq - m cosq )

c Mg (sinq + m cosq )

d Mg (cosq - m sinq )

Answer


A trolley is given an initial force along a floor to get it moving. The trolley then travels forward along the floor, gradually slowing. What is true of the horizontal force(s) on the trolley as it is slowing?

a There is a forward force and a backward force, but the forward force is larger.

b There is a forward force and a backward force, but the backward force is larger.

c There is only a forward force, which diminishes with time.

d There is only a backward force.

Answer