Question

A particle performing SHM of period 18 sec starts from its mean position when will it be midway between the mean position and extreme position?

Answer 1

Answer:

2.25 sec

Explanation:

A particle performing SHM of period 18 sec starts from its mean position when will it be midway between the mean position and extreme position?

A particle performing SHM of period 18 sec

18 secs means from extreme position to extreme position to and fro

extreme to extreme = 2 * Mean to extreme

to and fro mean = twice

=> 2 * 2 * Mean to extreme = 18

=> Mean to extreme = 4.5 sec

midway between the mean position and extreme position = 4.5/2

= 2.25 sec

Answer 2

answer : 2.25 sec

explanation : time period of a particle performing SHM is T = 18sec

we know, time period is time taken by particle to complete one revolution. e.g., 2π radians.

in simple way, 18sec is required to complete 2π radians { one revolution}

we know, phase difference between mean to extreme position is π/2.

so, time taken by particle to move mean to extreme position = T/2π × π/2 = 18/4 = 4.5 sec

and time taken to particle to move mean position to Midway between the mean position and extreme position = half of time taken to move mean to extreme position = 4.5/2 = 2.25 sec