Classical Mechanics Answers

Two tuning forks are sounded simultaneously and a beat of the frequency of 2Hz is heard. If the frequency of the higher pitch is 156Hz, what is the frequency of the other?

Show that fo = 1/2lT/u is homogenous

Accelerometer suspended in a vehicle braking from 50km/HR to 0 in a distance of 60 m. What angle does it make with vertical?

A block of mass 10 kg is suspended from a fixed support by a spring of spring constant 2068 Nm−1. The block is subject to the vertical driving force 500cos((5rad/s)t) N. Let x be the downward displacement of the block (in metres), measured from the equilibrium position. What is the distance of the block from its equilibrium position at time t= 1.7 s? [Hint: Without damping you only need to consider the particular solution, xp(t).]

A certain oscillator has equation of motion

x¨+4x=0.
The particle is initially at the point x= 1.23 when it is projected towards the origin with a speed 1.42. What is the amplitude of these oscillations to 2 decimal places

Write down contribution of electronic in specific heat.

In terms of Newton’s laws of motion:
(a) Explain why this book will sit stationary on a table.
(b) Describe and explain what will happen if your hands then put an upwards force on the book that
is greater than its weight.
(c) Explain why you feel the book when your hands put that upwards force on it.

If k x velocity x mass is displacement, determine the dimensions of “k”

if k multiply velocity multiply mass is displacement, then the displacement of k are