OSCOLPHYS1 16.P.022.WA. MY NOTES A mass attached to the end of a spring is oscillating with a period of 2.25 s on a horizontal frictionless surface. The mass was released from rest at t = 0 from the position x = 0.0420 m. (a) Determine the location of the mass at t = 5.51 s? m (b) Determine if the mass is moving in the positive or negative x direction at t = 5.51 s? O positive x direction O negative x direction Supporting MaterialsMY NOT A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (6.4 cm)cos[2xt/(2.48 s)]. Determine the following. (a) period of the motion 2.48 S (b) frequency of the oscillations .403 Hz (c) first time the mass is at the position x = 0 62 S (d) first time the mass is at the site of maximum compression of the spring 0.25 X What fraction of a period does it take for the oscillating mass to go from the position of maximum positive displacement to the position of maximum negative displacement? sMY NO A 0.89-kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing. x (m) 4 0.10 2.0 6.0 t (s) -0.10 Determine the following. (a) amplitude A of the motion m (b) angular frequency @ rad/s (c) spring constant k N/m (d) speed of the object at t = 2.0 s m/s (e) magnitude of the object's acceleration at t = 2.0 s m / s 2A 0.40-kg mass is attached to a spring with a force constant of k = 367 N/m, and the mass-spring system is set into oscillation with an amplitude of A = 2.7 cm. Determine the following. (a) mechanical energy of the system .107 X When the mass is at its maximum displacement, how is the potential energy of the spring related to the total energy of the spring-mass system? J (b) maximum speed of the oscillating mass m/s (c) magnitude of the maximum acceleration of the oscillating mass m / 5 2 Supporting Materials Physical Constants