Home
Class 11
PHYSICS
This displacement time graph of a partic...

This displacement time graph of a particle executing S.H.M. is given in figure : (sketch is schematic and not to scale).

Which of the following statements is/are true for this motion?
(A) The force is zero at t = `(3T)/4`
(B)The acceleration is maximum at t=T
(C )The speed is maximum at t = `T/4`
(D) The P.E. is equal to K.E. of the oscillation at t = `T/2 `

A

(A), (B) and (D)

B

(B), (C) and (D)

C

(A), (B) and (C)

D

(A) and (D)

Text Solution

Verified by Experts

The correct Answer is:
C
F = ma ` a = - omega ^(2) x `
(A) AT `(3T)/( 4)` displacement zero ( x = 0 ), so a = 0
F = 0
(B) at t = T displacement (x) = A
x maximum , So acceleration is maximum
(C) ` v = omega sqrt(A^(2) - x^(2))`
`v_("max") at x = 0 rArr v_("max") = A omega `
At ` t = (T)/(4) , x = 0, So v_("max")`
(D) KE = PE
` :. at x = (A)/( sqrt(2))`
At, ` t = (T)/(2) x = - A ` (So not possible)
Promotional Banner

Similar Questions

Explore conceptually related problems

The x-t graph of a particle executing S.H.M. is given as then maximum accleration of the particle is given as :-

The displacement of a particle executing S.H.M. is given by y = 0.25 sin 200t cm. The maximum speed of the particle is

The displacement of a particle executing S.H.M. is given by, y = 0.20 sin (100 t) cm. The maximum speed of the particle is

The x-t graph of a particle executing S.H.M.is given as shown in the figure. Then maximum accleration of the particle is given as?

The displacement of a particle executing a S.H.M. is given by x= A "sin" omega t +A "cos" omega t . What is the amplitude of motion ?

Displacement of a particle executing SHM s x= 10 ( cos pi t + sin pi t) . Its maximum speed is

The displacement at an ins"tan"t t, of a particle executing a linear S.H.M. is given by x=5 "sin" 31.4(t+0.1). Its periodic time is

If the displacement of a particle executing S.H.M. is given by x = 0.24 sin (400 t + 0.5)m, then the maximum velocity of the particle is

Acceleration - time graph for a particle is given in figure. If it starts motion at t = 0, distance travelled in 3 s will be ,br>

The displacement s of a particle at time t is given by s=alpha sin omegat+beta cos omegat then acceleration at time t is