11th Physics Monthly Test - 4 ( Motion of System of Particles and Rigid Bodies )

MABS Institution

11th Physics Monthly Test - 4 ( Motion of System of Particles and Rigid Bodies )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 5 - Answer All Question

The moment of inertia of a thin rod of mass 'M' and length 'I' about an axis passing through its centre is \(\frac { M{ l }^{ 2 } }{ 12 } \). Calculate the moment of inertia about a parallel axis through end of rod.

A solid sphere is undergoing pure rolling. What is the ratio of its translational kinetic energy to rotational kinetic energy?

A rope is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N.

A uniform disc of mass 100g has a diameter of 10 cm, Calculate the total energy of the disc when rolling along a horizontal table with a velocity of 20 cms^-1. (take the surface of table as reference).

Discuss the pure rolling and find the condition for rolling without slipping and sliding.

Write an expression for the KE of a body rolling without slipping with point of contact as reference.

Find the expression for KE of the rigid body in rotational motion.

Find the moment of inertia about the geometric center of the given structure made up of one thin rod connecting two similar solid spheres as shown in Figure.

Find the torque of a force \(7\hat { i } +3\hat { j } -5\hat { k } \) about the origin. The force acts on a particle whose position vector is \(\hat { i } -\hat { j } +\hat { k } \) .

Define Torque and derive its expression.

Discuss conservation of angular momentum with example

Discuss rolling on inclined plane and arrive at the expression for the acceleration.

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11th Physics Monthly Test - 4 ( Motion of System of Particles and Rigid Bodies )

MABS Institution

11th Physics Monthly Test - 4 ( Motion of System of Particles and Rigid Bodies )-Aug 2020

Part - A

Generic 5 - Answer All Question

The moment of inertia of a thin rod of mass 'M' and length 'I' about an axis passing through its centre is \(\frac { M{ l }^{ 2 } }{ 12 } \). Calculate the moment of inertia about a parallel axis through end of rod.

A solid sphere is undergoing pure rolling. What is the ratio of its translational kinetic energy to rotational kinetic energy?

A rope is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N.

A uniform disc of mass 100g has a diameter of 10 cm, Calculate the total energy of the disc when rolling along a horizontal table with a velocity of 20 cms-1. (take the surface of table as reference).

Discuss the pure rolling and find the condition for rolling without slipping and sliding.

Write an expression for the KE of a body rolling without slipping with point of contact as reference.

Find the expression for KE of the rigid body in rotational motion.

Find the moment of inertia about the geometric center of the given structure made up of one thin rod connecting two similar solid spheres as shown in Figure.

Find the torque of a force \(7\hat { i } +3\hat { j } -5\hat { k } \) about the origin. The force acts on a particle whose position vector is \(\hat { i } -\hat { j } +\hat { k } \) .

Define Torque and derive its expression.

Discuss conservation of angular momentum with example

Discuss rolling on inclined plane and arrive at the expression for the acceleration.

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A uniform disc of mass 100g has a diameter of 10 cm, Calculate the total energy of the disc when rolling along a horizontal table with a velocity of 20 cms^-1. (take the surface of table as reference).