Question 353: Oscillations

Question

A wooden block performs $SHM$ on a frictionless surface with frequency, ${v_0}.$  The block carries a charge $+Q$ on its surface . If now a uniform electric field $\overrightarrow E $ is switched- on as shown, then the $SHM$ of the block will be

Accepted Answer

The force exerted on charge +Q by the electric field $\overrightarrow E $ is
$\overrightarrow F  = Q\overrightarrow E $
in the direction of $\overrightarrow E $. Since $\overrightarrow F $ is constant, a constant force is added to the applied force. Hence only the mean position will change.
The frequency will be same.
As ${v_0} = {1 \over {2\pi }}\sqrt {{k \over m}} $ does not depend on the constant external force.

Answer

of the same frequency and with shifted mean position.

Answer

of the same frequency and with the same mean position

Answer

of changed frequency and with shifted mean position.

Answer

of changed frequency and with the same mean position.

Oscillations

A wooden block performs SHM on a frictionless surface with frequency, {v_0}. The block carries a charge +Q on its surface . If now a uniform electric field \overrightarrow E is switched- on as shown, then the SHM of the block will be

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