A mass m $$=100$$ gms is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $$0.16$$ metre and time period equal to $$2$$ $$sec$$. Initially the mass is released from rest at t $$=$$ $$0$$ and displacement $$x=$$−$$0.16$$ metre. The expression for the displacement of the mass at any time t is

Question

A mass m $$=100$$ gms is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $$0.16$$ metre and time period equal to $$2$$ $$sec$$. Initially the mass is released from rest at t $$=$$ $$0$$ and displacement $$x=$$−$$0.16$$  metre. The expression for the displacement of the mass at any time t is

Infinity Learn · Accepted Answer

Standard equation for given condition $$x=acos2$$$$π$$Tt⇒$$x=$$−$$0.16cos($$π $$t)$$[As a $$=$$ – $$0.16$$ meter, T $$=$$ $$2$$ $$sec$$]

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