Question

The force constant of a particle of mass 1 kg is shm of amplitude 4 cm is 100 per metre when particle is it mean position at t is equals to zero then find maximum speed p

Answer 1

Answer:

The equation of motion of S.H.M x=0.5cos(100+43π).

Comparing it with general equation motion of S.H.M, described as follows, we get, x=Acos(ωt+θ)

(1) Frequency= 2πω, Where ω=100= 2π

100 =(50π)Hz

(2)Initial phaseϕ= 43π

(3)Amplitude A=0.5cm

Maximum velocity=ωA=100×0.5=500m/s

(4)Maximum acceleration=ω 2A=100

2×0.5=50m/s 2

(5)Total energy= 21 mω

2 A 2(Mass of the particle=0.1kg)= 21 ×0.1×(100) 2×(0.5) 2=125J