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Rotational Dynamics and Oscillatory Motion
Semester
Subject
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Important Questions
Important Questions
Rotational Dynamics and Oscillatory Motion
Asked in 2081Short Question5 Marks
1.
An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of the motion, which are 40 cm apart. (a) What is the frequency of the motion? (b) What is the amplitude of the motion? (c) What is the force constant of the spring? [5]
Asked in 2080Short Question5 Marks
2.
An oscillating block of mass 250 g takes 0.2 sec to move between the endpoints of the motion, which are 50 cm apart. Find the frequency and amplitude of the motion. What is the force constant of the spring? [5]
Asked in 2080Long Question10 Marks
3.
Distinguish rigid and non-rigid body. Derive an expression for rotational kinetic energy and discuss the conditions for conservation of energy. A wheel of radius 0.4 m and moment of inertia , pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2-kg weight is attached to the rope. When the weight has descended 1.5 m from its starting position, find the rotational velocity of the wheel. [10]
Asked in 2079Short Question5 Marks
4.
An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of the motion, which are 40 cm apart. Find (a) frequency and (b) amplitude of the motion, and (c) force constant of the spring. [5]
Asked in 2079Short Question5 Marks
5.
Set up differential equation for an oscillation of a spring using Hooke's and Newton's second law. [5]
Asked in 2078Short Question5 Marks
6.
A given spring stretches 0.1m when a force of 20N pulls on it. A 2-kg block attached to it on a frictionless surface is pulled to the right 0.2 m and released. (a) What is frequency of oscillation of the block? (b) What are the velocity and acceleration when , on the block's first passing this point? [5]
Asked in 2077Short Question5 Marks
7.
A roulette wheel with moment of inertia rotating initially at 2 rev/sec coasts to a stop from the constant friction torque of bearing. If the torque is 0.4 Nm, how long does it take to stop? [5]
Asked in 2077Long Question10 Marks
8.
Set up differential equation for an oscillation of a spring using Hooke's and Newton's second law. Find the general solution of this equation and hence the expressions for period, velocity and acceleration of oscillation. [10]
Asked in 2075Short Question5 Marks
9.
A large wheel of radius 0.4 m and moment of inertia 1.2 , pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2-kg weight is attached to the rope. When the weight has descended 1.5 m from its starting position (a) what is downward velocity? (b) what is the rotational velocity of the wheel? [5]
Asked in 2075Long Question10 Marks
10.
Set up differential equation for an oscillation of a spring using Hooke's and Newton's second law. Find the general solution of this equation and hence the expressions for period, velocity and acceleration of oscillation. [10]
Asked in 2074Short Question5 Marks
11.
An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of the motion, which are 40 cm apart. (a) What is the frequency of the motion? (b) What is the amplitude of the motion? (c) What is the force constant of the spring? [5]
Asked in 2074Long Question10 Marks
12.
Describe moment of inertia and torque for a rotating rigid body. Find the expression for rotational kinetic energy and discuss the conditions for conservation. [10]