2. (a) An object undergoing SHM traces a parabola taking 0.25 s to travel from one point of minimum velocity to the next point of maximum velocity. The distance between those points is 36 cm. Calculate the (i) period, (ii) frequency, (iii) amplitude of the motion, and (iv) instantaneous velocity when particle is displaced at 18 cm. (b) A body of mass 25 gm executes SHM such that its velocity at mean position is 1 m/s and acceleration at one extremity is 1.57 m/s². Calculate (i) amplitude, (ii) time period of oscillation, (iii) total energy, and (iv) instantaneous velocity at t=28.7 s. (c) The equation of a travelling wave is y = 10 sin T1(10t – – x). Calculate the (i) amplitude of vibrating particle, (ii) wave velocity, (iii) wave length, and (iv) frequency of oscillating particle.
2. (a) An object undergoing SHM traces a parabola taking 0.25 s to travel from one point of minimum velocity to the next point of maximum velocity. The distance between those points is 36 cm. Calculate the (i) period, (ii) frequency, (iii) amplitude of the motion, and (iv) instantaneous velocity when particle is displaced at 18 cm. (b) A body of mass 25 gm executes SHM such that its velocity at mean position is 1 m/s and acceleration at one extremity is 1.57 m/s². Calculate (i) amplitude, (ii) time period of oscillation, (iii) total energy, and (iv) instantaneous velocity at t=28.7 s. (c) The equation of a travelling wave is y = 10 sin T1(10t – – x). Calculate the (i) amplitude of vibrating particle, (ii) wave velocity, (iii) wave length, and (iv) frequency of oscillating particle.
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