In simple harmonic motion,the total mechanica | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The total mechanical energy $(T.E.)$ of a simple harmonic oscillator is given by the formula:$T.E. = \frac{1}{2} k A^2$where $k$ is the force cons

Vedclass · Accepted Answer

$E$

Vedclass · Answer

(B) The total mechanical energy $(T.E.)$ of a simple harmonic oscillator is given by the formula:$T.E. = \frac{1}{2} k A^2$where $k$ is the force constant of the spring and $A$ is the amplitude of oscillation.From the formula,it is clear that the total energy depends only on the force constant $k$ and the amplitude $A$.It does not depend on the mass $m$ of the oscillating particle.Since the amplitude $A$ remains the same and the force constant $k$ (which depends on the spring properties) remains unchanged,the total energy of the system will remain $E$.Therefore,the correct option is $B$.

In simple harmonic motion,the total mechanical energy of a given system is $E$. If the mass of the oscillating particle $P$ is doubled,then the new energy of the system for the same amplitude is

Similar Questions

If a particle repeats its motion after a fixed time interval of $8 \,s$,then after how much time will its maximum value of $PE$ be attained after attaining its minimum value?

$A$ body is executing $S.H.M$. At a displacement $x$ its potential energy is $9 \ J$ and at a displacement $y$ its potential energy is $16 \ J$. The potential energy at displacement $(x+y)$ is (in $J$)

The ratio of kinetic energy to the potential energy of a particle executing $SHM$ at a distance equal to half its amplitude,the distance being measured from its equilibrium position,is:

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.

For a particle performing $S.H.M.$,when displacement is $x$,the potential energy and restoring force acting on it are denoted by $E$ and $F$ respectively. The relation between $x, E$ and $F$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module