Login
Remember
Register
Home
All Activity
Q&A
Questions
Hot!
Unanswered
Tags
Categories
Users
Ask a Question
Ask a Question
Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same
0
votes
asked
Mar 19, 2022
in
11th Physics
by
varun
(
6.7k
points)
Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period.
marks2
chapter14
#sub
Please
log in
or
register
to answer this question.
0
Answers
Categories
All categories
Maths
(8.6k)
Science
(14)
Physics
(3.4k)
11th Physics
(1.5k)
12th Physics
(1.9k)
Related questions
Answer the following questions : (a) Time period of a particle in SHM depends on the force constant k and mass m of the particle: `T=2πsqrt(m/k)`. A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum? (b) The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that T is greater than `2πsqrt(l/g)`.Think of a qualitative argument to appreciate this result. (c) A man with a wristwatch on his hand falls from the top
An air chamber of volume V has a neck area of cross section a into which a ball of mass m just fits and can move up and down without any friction (Fig.). Show that when the ball is pressed down a little and released , it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Fig. 14.27].
The kinetic energy of a particle executing S.H.M. is 16J when it is in its mean position. If the amplitude of oscillations is 25cm and the mass of the particle is 5.12kg. Calculate the time period of
For the damped oscillator shown in Fig., the mass m of the block is 200 g, k = 90 N `m^(–1)` and the damping constant b is 40 g `s^(–1)`. Calculate (a) the period of oscillation, (b) time taken for its amplitude of vibrations to drop to half of its initial value, and (c) the time taken for its mechanical energy to drop to half its initial value.
An 8 kg body performs S.H.M. of amplitude 30 cm. The restoring force is 60N, when the displacement is 30cm. Find: - a) Time period b) the acceleration c) potential and kinetic energy when the displacement is