Phys101 Term:131 Online HW-Ch15-Lec01 Q1: The acceleration of a body executing simple harmonic motion leads the velocity by what phase? A. 0 B.π/8 C. π /4 rad D. π /2 rad E. π rad Ans: D Q2: A block attached to a spring oscillates in simple harmonic motion along the x axis. The limits of its motion are x = 10cm and x = 50 cm and it goes from one of these extremes to the other in 0.25 s. What is the maximum speed (in SI unit) of block? Ans: vm = ωym = vm = = π y t m π (50 − 10) × 10−2 2 0.25 3.14 × 20 × 10−2 0.25 = 2.5 m/s Q3: The maximum speed of a 3.00-kg object executing simple harmonic motion is 6.00 m/s. The maximum acceleration of the object is 5.00 m/s2. What is its period of oscillations? Ans: am = −ω2 ym = −ωym . ω ⇒ am = vm ω = vm ⇒T= 2π T 2πvm 2 × 3.14 × 6 = = 7.54 s am 5 KFUPM-Physics Department 1
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