In SHM restoring force is F = -kx , where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon

Question

In SHM restoring force is F = -kx , where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon (A)  k, A and M  (B)  k, x, M  (C)  k, A  (D)  k,x

Tardigrade Admin · Accepted Answer

In SHM, the total energy = potential energy+ kinetic energy or E=U+K =(1/2)m ω2 x2 +(1/2)m ω2(A2 -x2) =(1/2) m ω2 A2 =(1/2)kA2 where, k = force constant= m ω2 Thus, total energy depends on k and A

Q. In $S H M$ restoring force is $F = - k x$ , where $k$ is force constant, $x$ is displacement and $A$ is amplitude of motion, then total energy depends upon

$k, A$ and $M$

$k, x, M$

$k, A$

$k, x$

In SHM, the total energy
$=$ potential energy+ kinetic energy
or $E = U + K$
$= \frac{1}{2} m ω^{2} x^{2} + \frac{1}{2} m ω^{2} (A^{2} - x^{2})$
$= \frac{1}{2} m ω^{2} A^{2} = \frac{1}{2} k A^{2}$
where, k = force constant= m $ω^{2}$
Thus, total energy depends on k and A

Q. In SHM restoring force is F=−kx , where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon

k,A and M

k,x,M

k,A

k,x