Question

A particle of mass m executing shm makes f oscillation per second

Answer 1

Your question is incomplete. But as per as my knowledge, I can imagine that, this should be,

A Particle of mass m executing Simple Harmonic Motion makes f oscillation per second. What is the Formula for acceleration, and Force.

Now,

We know, For Simple Harmonic Motion,

Force is directly proportional to the linear displacement and both are always opposite in direction.

∴ F ∝ -x

∴ F = -kx,

where k is the constant of the Simple Harmonic Motion and it was found experimentally that, k = ω²m.

Now, ω = 2πf

∴ k = 4π²f²m

∴ Force = -4π²f²mx

_______________________________

Force = mass × acceleration.

∴ acceleration = Force/Mass.

∴ a = ω²x

a = 4π²f²x

______________________

Hope it helps .