State and justify whether the following oscillators show simple harmonic motion: A guitar string vibrating

State and justify whether the following oscillators show simple harmonic motion: A conducting sphere vibrating between two parallel, oppositely charged metal plates.

State and justify whether the following oscillators show simple harmonic motion: The pendulum of a grandfather clock

The pendulum of a clock is displaced by a distance of $4.0cm$ and it oscillates in s.h.m. with a period of $1.0s$. Write down an equation to describe the displacement x of the pendulum bob with time t.

The pendulum of a clock is displaced by a distance of $4.0 \mathrm{cm}$ and it oscillates in s.h.m. with a period of $1.0 \mathrm{s}$. Calculate the maximum velocity of the pendulum bob.

The pendulum of a clock is displaced by a distance of $4.0cm$ and it oscillates in s.h.m. with a period of $1.0s$. Calculate: its velocity when its displacement is $2.0cm$.

A $50g$ mass is attached to a securely clamped spring. The mass is pulled downwards by 16mm and released, which causes it to oscillate with s.h.m. of time period of$0.84s$. Calculate the frequency of the oscillation

A $50g$ mass is attached to a securely clamped spring. The mass is pulled downwards by $16mm$ and released, which causes it to oscillate with s.h.m. of time period of $0.84s$. Calculate the maximum velocity of the mass.

A $50g$ mass is attached to a securely clamped spring. The mass is pulled downwards by $16mm$ and released, which causes it to oscillate with s.h.m. of time period of $0.84s$. Calculate the maximum kinetic energy of the mass and state at which point in the oscillation it will have this velocity.