5. A mass m = 2 kg, suspended by a spring of constant k = 0.5 N/m, can oscillate

Question

5. A mass m = 2 kg, suspended by a spring of constant k = 0.5 N/m, can oscillate freely What is the period of the mass's oscillation? (a) 12.6 s (b) 6.3 s (c) 5.0 s (d) 1.0 s (e) 2.2 s 6. A solid cylinder has a moment of inertia l-½MR, about an axis of rotation passing through its center. If the axis of rotation is moved from the center and the moment of inertia increases by a factor of 2, what is the location of the new axis (relative to the center of the cylinder)? (a) 0.50 R (b) 0.62 R (c) 0.65 R (d) 0.25 R (e) 0.71 R 7. A solid cylinder of radius R 0.2m and mass M1 kg is rotating about its center (I -'/MR") with a frequency f-2 revolutions/s. The position of the axis of rotation is fixed. A rough surface with a coefficient of friction Vk = 0.1 is then brought into contact with the cylinder. If the cylinder comes to rest in 10 s, what was the normal force exerted on the cylinder by the surface? (a) 0.72 N (b) 3.40 N (c) 4.56 N (d) 1.26 N (e) 2.00 N 8. The units of Young's modulus in the MKS system are given as (a) N Vm (b) nothing; it's dimensionless (c) N/m? (d) (e) /s

Explanation / Answer

m= 2.0kg, k=0.5 N/m

Use eqn as below,

T=2*sqrt(m/k)= 2*sqrt(2.0/0.5)

T= 12.57 s

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