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Questions and Answers
What is the time period of a compound pendulum?
What is the time period of a compound pendulum?
- T = 2π √(L^4/g)
- T = 2π √(L^2/g)
- T = 2π √(L^3/g)
- T = 2π √(L/g) (correct)
What is the radius of gyration of a ring about a parallel axis passing through its centre?
What is the radius of gyration of a ring about a parallel axis passing through its centre?
- R/2
- R/√2
- R (correct)
- 2R
What is the time period of a compound pendulum of length 2R and radius of gyration R/2?
What is the time period of a compound pendulum of length 2R and radius of gyration R/2?
- 2π √(4R/g)
- 2π √(R/g)
- 2π √(2R/g) (correct)
- 2π √(R/2g)
What is the velocity of a solid sphere that rolls down an inclined plane of length 1.4 m, starting from rest?
What is the velocity of a solid sphere that rolls down an inclined plane of length 1.4 m, starting from rest?
What is the relation between the velocities of a solid sphere that rolls down an inclined plane and one that slides down the plane without friction?
What is the relation between the velocities of a solid sphere that rolls down an inclined plane and one that slides down the plane without friction?
What is the downwards acceleration of a point mass tied to a string wound around a solid body, when released?
What is the downwards acceleration of a point mass tied to a string wound around a solid body, when released?
What is the expression for the velocity of a point mass tied to a string wound around a solid body, when released?
What is the expression for the velocity of a point mass tied to a string wound around a solid body, when released?
What is the moment of inertia of a uniform rod of mass M and length L about an axis through its centre?
What is the moment of inertia of a uniform rod of mass M and length L about an axis through its centre?
What happens to the angular momentum of the system when the beads reach the ends of the rod?
What happens to the angular momentum of the system when the beads reach the ends of the rod?
What is the torque responsible for the rotation of the rod?
What is the torque responsible for the rotation of the rod?
What is the type of motion exhibited by the rod?
What is the type of motion exhibited by the rod?
What is the angular velocity of the automobile engine in Problem 42?
What is the angular velocity of the automobile engine in Problem 42?
What is the moment of inertia of the body in Problem 43?
What is the moment of inertia of the body in Problem 43?
If the rotational kinetic energy of the body in Problem 43 is 12 J, what is its angular velocity?
If the rotational kinetic energy of the body in Problem 43 is 12 J, what is its angular velocity?
If the radius of gyration of a body is 0.5 m, what is its moment of inertia if it has a mass of 10 kg?
If the radius of gyration of a body is 0.5 m, what is its moment of inertia if it has a mass of 10 kg?
If the angular momentum of a rotating body is increased by 200%, then its rotational kinetic energy will be increased by
If the angular momentum of a rotating body is increased by 200%, then its rotational kinetic energy will be increased by
A ring, a solid sphere, and a thin disc of different masses rotate with the same kinetic energy. Equal torques are applied to stop them. Which will make the least number of rotations before coming to rest?
A ring, a solid sphere, and a thin disc of different masses rotate with the same kinetic energy. Equal torques are applied to stop them. Which will make the least number of rotations before coming to rest?
The angular velocity of a body is ω = 2ˆi + 3ˆj + 4kˆ and a torque τ = ˆi + 2ˆj + 3kˆ acts on it. The rotational power will be
The angular velocity of a body is ω = 2ˆi + 3ˆj + 4kˆ and a torque τ = ˆi + 2ˆj + 3kˆ acts on it. The rotational power will be
A flywheel of moment of inertia 0.32 kg-m² is rotated steadily at 120 rad/sec by a 50 W electric motor. The kinetic energy of the flywheel is
A flywheel of moment of inertia 0.32 kg-m² is rotated steadily at 120 rad/sec by a 50 W electric motor. The kinetic energy of the flywheel is
If the moment of inertia of a rotating body is increased by 50%, then its angular velocity will be decreased by
If the moment of inertia of a rotating body is increased by 50%, then its angular velocity will be decreased by
What is the rotation kinetic energy of a body rotating about a fixed axis?
What is the rotation kinetic energy of a body rotating about a fixed axis?
What is the rate of change of kinetic energy defined as?
What is the rate of change of kinetic energy defined as?
What is the expression for the moment of inertia of a body about a fixed axis?
What is the expression for the moment of inertia of a body about a fixed axis?
What is the ratio of rotational kinetic energy to translational kinetic energy for a spinning body?
What is the ratio of rotational kinetic energy to translational kinetic energy for a spinning body?
When a body rotates about a fixed axis, what is the nature of motion of its constituent particles?
When a body rotates about a fixed axis, what is the nature of motion of its constituent particles?
If the moment of inertia of a rotating body is increased by 25%, then its radius of gyration will be increased by
If the moment of inertia of a rotating body is increased by 25%, then its radius of gyration will be increased by
A torque of 10 Nm is applied to a body rotating at 5 rad/s. If the angular velocity of the body increases by 2 rad/s, what is the change in its rotational kinetic energy?
A torque of 10 Nm is applied to a body rotating at 5 rad/s. If the angular velocity of the body increases by 2 rad/s, what is the change in its rotational kinetic energy?
A solid sphere of radius 0.2 m is rotating at 10 rad/s about a fixed axis. What is its angular velocity about a parallel axis passing through its centre?
A solid sphere of radius 0.2 m is rotating at 10 rad/s about a fixed axis. What is its angular velocity about a parallel axis passing through its centre?
If the angular velocity of a rotating body is increased by 50%, then its rotational kinetic energy will be increased by
If the angular velocity of a rotating body is increased by 50%, then its rotational kinetic energy will be increased by
A flywheel of moment of inertia 0.5 kg-m² is rotated steadily at 150 rad/s by a 75 W electric motor. What is the torque delivered by the motor?
A flywheel of moment of inertia 0.5 kg-m² is rotated steadily at 150 rad/s by a 75 W electric motor. What is the torque delivered by the motor?
