Question

For the block under SHM shown in the figure, which of the following quantities is directly proportional to the maximum speed of the block?

• A. Amplitude
• B. Frequency
• C. Period
• D. Position of block
• E. Total mechanical energy of the block

Answer 1

Answer: (A)

Amplitude

The maximum potential energy of a spring is $U_{max}=\frac{1}{2}k{A}^2$ where k be the force constant and A be the amplitude of the oscillation.

When the block passes through the equilibrium position, the all potential energy is converted into kinetic energy and at this point the speed will be maximum.

Thus, $\frac{1}{2}k{A}^2=\frac{1}{2}m{v}_{max}^2$

so, $A\propto v_{max}$