Question

1)does the period of oscillation of a mass depend on the weight (not mass) ? Why or why not

2) what is the relationship between acceleration and position (for a bouncing mass) ? how is it related to linear restoring force

Answer 1

Solution) The period of oscillation of simple pendulum do not depend upon mass but the period of oscillation of spring depends on mass .

Period of spring system , T = 2(pi)(m/K)^(1/2)

So it depends on mass m.

Solution) Acceleration , a = - (w^2)(x)

acceleration is opposite to direction of displacement .

Restoring force in spring , F = - (K)(x)

Here in this case force is opposite to direction of displacement .

So both acceleration and force are opposite to direction of displacement .