Question

the displacement of a particle executing shm is given by x=0.01 sin 100 π (t+0.05). the time period?

Answer 1

Answer:

An acceleration can cause speed to increase, decrease, and even stay the same! Acceleration tells you the rate at which the velocity is changing. ... The acceleration can change the magnitude and/or the direction of the velocity. Speed is only the magnitude of the velocity.

Answer 2

Given :-

• x = 0.01 sin 100π ( t + 0.05 )
• x = 0.01 sin ( 100πt + 0.05 ). Eq(1)

as we know , x = A sin ( ωt + ϕ ). Eq(2)

in a Simple harmonic motion , where

• A = Acceleration
• m = Mass
• f = Frequency
• k = force constant
• ω = Angular frequency

NOW SUBSTITUTE VALUE OF "X" in eq(1)(2)

• A = 0.01
• ωt = 100πt
• ⇒ω = 100π
• ⇒ T2π = 100π
• ⇒ T1 =50
• ⇒T= 50
• T = 1 / 50 = 2 /100
• T = 0.02 secs

So, Time period to displace a particle to execute Shm is 0.02 secs.

information

- A oscillation motion at constant amptitude where the restoring force is directly proportional to its displacement and The direction of this restoring force is always towards the mean position is called Simple harmonic motion.

- F = −kx, where F is the force, x is the displacement, and k is a constant.