Bsc CSIT Semester 1 – Physics – Unit 1: Rotational Dynamics and Oscillatory Motion (5 Hrs.)

An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of the motion, which are 40 cm apart.
$\quad$ (a) What is the frequency of the motion?
$\quad$ (b) What is the amplitude of the motion?
$\quad$ (c) What is the force constant of the spring?

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 1.2 kg-m2, 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.

A given spring stretches 104 m 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 x = 0.12m, on the block's first passing this point?

Set up differential equation for an oscillation of a spring using Hooke’s and Newton’s second law.

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

$\quad$ (a) frequency and

$\quad$ (b) amplitude of the motion, and

$\quad$ (c) force constant of the spring.

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?

Set up a 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 the period, velocity, and acceleration of oscillation.

A roulette wheel with moment of inertia I = 0.5 kgm2 rotating initially at 2 rev/sec coasts to a stop from the constant friction torque of bearing. If the torque of the bearing. If the torque is 0.4 Nm, how long does it take to stop?

Set up a 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 the period, velocity, and acceleration of oscillation.

A large wheel of radius 0.4m and moment of inertia 1.2 kgm2, pivoted at the center, is free to rotate without friction. A rope is wound around it and a 2kg weight is attached to the rope, when the weight has descended 1.5m from its starting position, (a) what is its downward velocity? (b) what is the rotational velocity of the wheel?

Describe moment of inertia and torque for a rotating rigid body. Find the expression for rotational kinetic and discuss the conditions for conservation.

An oscillating block of mass 250 g takes 0.15 sec to move between the endpoints of motion, which are 40cm apart.

$\quad$ a.What is the frequency of the motion?

$\quad$ b.What is the amplitude of the motions?

$\quad$ c.What is the forces constant of the spring?