Problem 2 -short problems 2-1 (6) The figure below shows two SHM, labeled A and

Question

Problem 2 -short problems 2-1 (6) The figure below shows two SHM, labeled A and B For each of them, determine - A) The amplitude of A and B -2 lop B) The frequency of A and B C) The period of A and B ler D) The angular frequency of A and B ne 2-2 A solid sphere of radius, R and mass, M starts from rest at the top of an smooth inclined plane (no friction) an rolls down the inclined plane. The height of the inclined plane is h Given moment of inertia of solid sphere Isphere MR A) (7) Determine its linear velocity at the bottom of the incline - express this in terms of g and h. B) ( 1) If R = 30cm. M = 1 kg, and h = 1.2m, calculate the linear velocity

Explanation / Answer

(2)

(a) Amplitude of A = 2.5m and amplitude of B=3.5

(b) Frequency = number of oscillations in one second

for A, f=1/4 = 0.25 Hz

for B, f= 1/2 = 0.5 Hz

(c) for A, period =T= 4 seconds

for B, period= T= 2 seconds

(d) for A, angular frequency = w= 2 pi f = 2(3.14)(0.25)=1.57 rad/s

for B, angular frequency = w= 2 pi f = 2(3.14)(0.5)=3.14 rad/s

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