Question

Chapter 15, Problem 037 A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a position y; such that the spring is at its rest length. The object is then released from y; and oscillates up and down, with its lowest position being 14 cm below y: (a) What is the frequency of the oscillation? (b) What is the speed of the object when it is 10 cm below the initial position? (c) An object of mass 160 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object? (d) How far below y; is the new equilibrium (rest) position with both objects attached to the sping? Units (a) Number (b) Number Units Units (c) Number (d) Number Units

Answer 1

reat liryth Rest Amg the meams UYloaded Amplitude A 4 2 14cm f-KX (a ) K 9.8 2 140 4-2 0-07 11.83 rod/s N fs 11-83 88 Hz 2A 2*3.14 (bJ k max EptleH LKC014 O.0038 K 2 2 Ep K(012 2 10 Cm O.005K 0 0048K mv 00048 x140m 2 2 x a.004& XI40

K f's 27 27 m mto16o mto160 2 2 2 ½f 0-160 2 3 mt0.160 (d) we hawe quadrupled th forre m tSpiny dusplarem ent also 28 cm 4/G