The displacement time graph of a particle executing SHM 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
F = MA = m (-ω²x). F=0 at x=0 (t=T/4, 3T/4.). (a) is correct. Acceleration is max at extremes (t=0, T/2, T.). (b) is correct. Speed is max at mean position (t=T/4, 3T/4.). (c) is correct. PE=KE at x=A/√2. t=T/8. (d) is incorrect.
<p>F = MA = m (-ω²x). F=0 at x=0 (t=T/4, 3T/4.). (a) is correct.<br>Acceleration is max at extremes (t=0, T/2, T.). (b) is correct.<br>Speed is max at mean position (t=T/4, 3T/4.). (c) is correct.<br>PE=KE at x=A/√2. t=T/8. (d) is incorrect.</p>
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