Understanding the concept of angular motion

Three point-masses are located at the vertices of an equilateral triangle of length a. What is the MOI of the system about an axis along the altitude of the triangle passing through ?

A particle moves in a circle of a radius of 20 cm. Its linear speed is given by , where t is in seconds and v is in m/s. The radial acceleration at t=3s is__

The MOI of a rod of mass M and length l about an axis perpendicular to its length and passing through its center of mass is. Find its MOI about an axis passing through one end?

The MOI of a uniform circular disc about a diameter is I. Its MOI about an axis perpendicular to its plane and passing through a point on its rim will be __

A disc of metal is melted and recast in the form of a solid sphere. What will happen to the MOI about a vertical axis passing through the center?

Two circular discs have masses in the ratio of 1:2 and diameters in the ratio of 2:1. The ratio of their MOI about similar axes is__

An automobile moves on a road with a speed of 54 km/h. The radius of the wheel is 0.35 m. The average angular acceleration is ___ if the vehicle is brought to rest in 15s?

The radius of gyration of a cylindrical rod of mass M and length l about an axis of rotation perpendicular to its length and passing through its center is __

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. The MOI of the cylinder is__

On what factors does the MOI of a body about an axis depend?

A ring and a circular disc of different materials have equal masses and equal radii. Which one will have a larger MOI about an axis passing through its center of mass and perpendicular to its plane?

A block of mass 100 g moves with a uniform speed in a horizontal circular groove, with vertical sidewalls of radius 25 cm. if the block takes 2secs to complete one round. The normal force by the sidewall of the groove is__

A particle travels in a circle of radius 20 cm at a speed that uniformly increases. If the speed changes from 5 m/s to 6 m/s in 2secs. The angular acceleration is__

The magnitude of the linear acceleration of a particle moving in a circle of radius 10 cm with uniform speed completing the circle in 4s is__

A particle moves in a circle of a radius of 20 cm with a linear speed of 10 m/s. The angular velocity is __