Classical Mechanics Answers

A small ball of mass m = 5 kg is suspended from 

a string of length L = 5 m. The ball revolves 

with constant speed v in a horizontal circle of 

radius r = 2 m. Find an expression for v and a.

Knowing that the coefficient of static friction between the tires and the road is 0.80 for the car as shown in figure 2. At this car, suddenly brakes are applied when it was moving with a velocity of 360 inches/sec and it skidded to rest in 240 inches. Determine the magnitude of the normal reaction and of the friction force at each wheel as the car skidded to rest. 

What is the angular momentum of the hour hand of a clock If it has a length of 25 cm and a mass of 20 g?

A grinding wheel of 0.2 m in diameter, of mass 3kg, is rotating at 3600 revolutions per minute about an axis through its center.

What is its kinetic energy?

The angle x through which a bicycle wheel turns is given by x = a + bt² + ct³ where a, b, and c are constants.

Calculate the velocity and acceleration of the wheel as a function of time.

A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s^-1 in 20 s.

Find the angular acceleration.

Determine the angle through which the blade has turned in the 20-s interval.

Solve for the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s^-1.

An electric motor is turned off, and its angular velocity decreases uniformly from 1000 revolutions per minute(rpm) to 400 revolutions per minute in 5 s.

Find the angular acceleration and the number of revolutions made by the motor in the 5-s interval.

How many revolutions are equivalent to 10 radians?

A particle starts from rest and moves around a fixed point with a constant acceleration of 2 rad.s^-2.

Find its angular velocity after 2 s.

Determine the angular displacement and the number of revolutions it made after 5 s.

What is gravitational force.