Classical Mechanics Answers

A disk rotates with a constant angular velocity about its axis with respect to an inertial frame. There is a coaxial circular groove in the disk. A particle moves in the groove with a speed v as seen from the disk frame. At a certain instant a sharp blow increases the speed of particle from v to 2v. With respect to the disk frame, just after the blow the centrifugal force

(a) remains unchanged

(b) increases

(c) decreases

(d) is zero in both cases

A particle moves in a circular path with a speed v with respect to an inertial frame S. At a certain instant, a sharp blow increases the speed of the particle to 2v. With respect to this frame S, just after the blow the centrifugal force

(a) remains unchanged

(b) increases

(c) decreases

(d) is zero in both cases

Young's modulus for steel is 2×10^11N/m^2. A weight of 100N hangs from a steel wire of length 3m and cross-sectional area 1.5×10^-6m^2. If the extension is 0.25mm, calculate the extension produced

A body starting from rest travels for 100s with uniform acceleration of 1.5m/s . What distance does it cover in the last 2 seconds

Suppose we are told that the acceleration a of a particle

moving with uniform speed v in a circle of radius r is

proportional to some power of r, say r, and some power

 n

of v, say vm. Determine the values of n and m and write

 the simplest form of an equation for the acceleration.

The ball is hung on a thread with a length of l = 20cm. Three other balls are hung on strings. The length of one thread of the ball is l = 10cm, of the other l = 20cm, and of the third l = 30 cm.
1. Determine the natural frequencies of mathematical pendulums
2. Divert the ball with length l = 20cm from its equilibrium position and let it vibrate freely. the amolitus with which the other balls begin to vibrate. When vibrating, which of the balls does not have a resonance? (g = 10m /s

Explain diffusion constant

What is visosity explain

A ball weighing 20g, attached to a spring, performs a harmonic oscillation with a frequency of 10 Hz and an amplitude of A = 10cm.
1. Find the maximum force with which the spring acts on the ball.
2. Find the speed of the ball as it passes through the equilibrium position.
3. Find the mechanical energy of the spring pendulum

A ball with mass 1kg suspended on a spring oscillates nutritionally with the amplitude A = 10cm and period T = 3s.Determine the kinetic and potential energy of the ball when it is deviated from the equilibrium position at a distance x = A/2