Question

B A partide starts at t=0 from the mean position with a velocity v= 31 m/s in the
positive direction. If the time period of the oscillation is 2 sec., write the expression for the
displacement of the particle (a) What minimum time does the particle take to go from
mean position to a point P, which lies midway between the mean position and the right
extreme position? (b) What minimum time does the particle take to reach the right
extreme position from the mean position?​

Answer 1

Answer:

ω=

T

2π

=

16

2π

=

8

π

rad/s

If at t=0, particle passes through its mean position (x=Asinωt) with maximum speed its v−t equation can be written as

v=ωAcosωt

Substituting the given values, we have

2=(

8

π

)Acos(

8

π

)(2)

∴ A=

π

16

2

m=7.2m