Question

A body of mass 1g is executing shm its displacement equation is given by x=4 cos (50t+pi/3)m then its maximum kinetic energy is

Answer 1

Answer:

The kinetic energy of SHM is given by

1/2*m*w*w(a*a - y*y)

Kinetic energy is maximum when y = 0

m = 0.001kg

x= a cos (wt + phase difference)

Comparing this equation with the given question,

a= 4

w=50

Maximum KE=1/2*0.001*50*50*4*4=1/2*1/10*5*5*16

=1/4*5*16 = 4*20 = 80J