HC Verma - Concepts of Physics Part 1

Book: HC Verma - Concepts of Physics Part 1

Chapter: 12. Simple Harmonic Motion

Subject: Physics - Class 12th

Q. No. 7 of Exercises

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7

Consider a particle moving in simple harmonic motion according to the equation


where x is in centimeter and t in second. The motion is started at t = 0. (a) When does the particle come to rest for the first time? (b) When does the acceleration have its maximum magnitude for the first time? (c) When does the particle come to rest for the second time?


(a) 1.6 × 10-2 s


(b) 1.6 × 10-2 s


(c) 3.6 × 10-2 s





So, ,


As the particle comes to rest for the first time




b) acceleration of the particle



=


For the maximum acceleration the expression


should bear its maximum value i.e. -1


So,




c) the particle comes to rest second time after




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