Question

A block of mass m- 5.43kg is between two walls and connected by a spring to each wall as shown in the above diagram. The spring constants are ki = 88.6kg/s2 and k,-144kg/s2, what is the period of oscillation? Casaーー0sG Answer the question T>과(7 ) Submt Attempted the problem 0 times. There have been no attempts to answer the problem Problem #8 A 2.26kg object attached to a spring moves without friction and is driven by an external force given by the expression F(t) Fo sin(2xt), where Fo- 3.23N, the time is in seconds, and the force constant of the spring is k 20.1kg/s. (a) What is the period of the driven system when at resonance? (b) What is the amplitude of the motion for this system that is driven at o 2n? (a)Answer part (a) (b)m St) s U e) m Answer part(b) Submit http:mjcrescimanno people.ysu edu/2610HW14/HW.phpusername csnyder&ynumber Y0O5692878dnum 10450 /16/18, 8:59 A Page 5 of

Answer 1

Ca Resonance angul ar frequenc

$= \sqrt{\frac{20.1}{2.26}} = 2.98 = 3 rad/s$

b)

Amplitude of the motion

$= \frac{3.23}{2.26}\left(\left(4\pi^2-2.98^2\right)\right)^{-1} = 0.0467 m = 0.046m$