in SHMrestoring force have max. magnitude at same instant but they are out of phase and point in opposite directions. HOW?/?

Asked by n jain | 21st Mar, 2011, 12:00: AM

Expert Answer:

Dear student,
 Position and velocity are out of phase.  The velocity is zero at maximum displacement, and the displacement is zero at maximum speed. 

For simple harmonic motion, the acceleration a = -ω2x is proportional to the displacement, but in the opposite direction.  Simple harmonic motion is accelerated motion.  If an object exhibits simple harmonic motion, a force must be acting on the object.  The force is

F = ma = -mω2x .

It obeys Hooke's law, F = -kx, with k = mω2.

Any physical situation in which an object has a restoring force that is proportional to the displacement, as in Hooke's law, will produce simple harmonic motion. A physical situation that has a restoring force that does not follow Hooke's law will produce oscillatory motion that is not simple harmonic motion.

Hope this helps.

Answered by  | 21st Mar, 2011, 11:06: AM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.