A block performs simple harmonic motion with equilibrium point x=0 . Graph of acceleration of the block as a function of time is shown. Which of the following statement is correct about the block?

Question

A block performs simple harmonic motion with equilibrium point x=0 . Graph of acceleration of the block as a function of time is shown. Which of the following statement is correct about the block? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-wtmc7ybzqrpc.png" /> (A) Displacement from equilibrium is maximum at t=4 s (B) Speed is maximum at t=4 s (C) Speed is minimum at t=4 s (D) Speed is maximum at t=3 s

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-wtmc7ybzaubs.png" /> From the figure given in the question, the speed of block will be maximum at t=0, 2 and 4 . So, the block can execute the simple harmonic motion. At extreme points at time t=1 s and t=3 s , the direction of acceleration is changed. So, at t=4 s the speed of the block is maximum.

Q. A block performs simple harmonic motion with equilibrium point $x = 0$ . Graph of acceleration of the block as a function of time is shown. Which of the following statement is correct about the block?

Displacement from equilibrium is maximum at $t = 4 s$

Speed is maximum at $t = 4 s$

Speed is minimum at $t = 4 s$

Speed is maximum at $t = 3 s$

From the figure given in the question, the speed of block will be maximum at $t = 0, 2 an d 4$ . So, the block can execute the simple harmonic motion. At extreme points at time $t = 1 s$ and $t = 3 s$ , the direction of acceleration is changed. So, at $t = 4 s$ the speed of the block is maximum.

Q. A block performs simple harmonic motion with equilibrium point x=0 . Graph of acceleration of the block as a function of time is shown. Which of the following statement is correct about the block?

Displacement from equilibrium is maximum at t=4s

Speed is maximum at t=4s

Speed is minimum at t=4s

Speed is maximum at t=3s