SHMHard
Question
Equation of SHM is x = 10 sin 10πt. Find the distance between the two points where speed is 50π cm/sec. x is in cm and t is in seconds.
Options
A.10 cm
B.20 cm
C.17.32 cm
D.8.66 cm.
Solution
V = ω 
(50π)2 = (10π)2 (102 − x2)
⇒ x = ±
= ±5
So, separation between points is
∴ ᐃx = 2 × 5
= 10
= 17.32 cm.
(50π)2 = (10π)2 (102 − x2)
⇒ x = ±
So, separation between points is
∴ ᐃx = 2 × 5
Create a free account to view solution
View Solution FreeMore SHM Questions
Two particles execute S.H.M. of same amplitude and frequency along the same straight line from same mean position. They ...A particle moves on the X-axis according to the equation x = x0 sin2 ωt. The motion is simple harmonic...The position vector of a particle moving in x-y plane is given by = (A sinωt)î + (A cosωt)ĵ then mot...Two particles are executing simple harmonic motion of the same amplitude A and frequency ϖ along the x-axis. Their ...Two particles execute S.H.M. along the same line at the same frequency. They move in opposite direction at the mean posi...