Duration: 2:10

11 views

1

A \( 100 \mathrm{~g} \) block is connected to a horizontal massless spring of force constant \( 25.6 \mathrm{~N} / \mathrm{m} \). As shown in Fig. (a), the block is free to oscillate on a horizontal frictionless surface. The block is displaced \( 3 \mathrm{~cm} \) from the equilibrium position and, at \( t=0 \), it is released from rest at \( x=0 \). It executes simple harmonic motion with the positive \( x \)-direction indicated in Fig. (a).

The position-time \( (x-t) \) graph of motion of the block is as shown in Fig. (b)
Velocity of the block as a function of time can be expressed as
(1) \( v=48 \sin \left(16 t+\frac{\pi}{2}\right) \mathrm{cm} / \mathrm{s} \)
(2) \( v=-48 \sin \left(16 t+\frac{\pi}{3}\right) \mathrm{cm} / \mathrm{s} \)
(3) \( v=-32 \sqrt{3} \sin \left(16 t+\frac{\pi}{4}\right) \mathrm{cm} / \mathrm{s} \)
(4) \( v=-32 \sqrt{3} \sin \left(16 t+\frac{\pi}{6}\right) \mathrm{cm} / \mathrm{s} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live