physics Classical Mechanics
posted by Anonimus .
A pendulum of mass m= 0.9 kg and length l=1 m is hanging from the ceiling. The massless string of the pendulum is attached at point P. The bob of the pendulum is a uniform shell (very thin hollow sphere) of radius r=0.4 m, and the length l of the pendulum is measured from the center of the bob. A spring with spring constant k= 12 N/m is attached to the bob (center). The spring is relaxed when the bob is at its lowest point (θ=0). In this problem, we can use the smallangle approximation sinθ≃θ and cosθ≃1. Note that the direction of the spring force on the pendulum is horizontal to a very good approximation for small angles θ. (See figure)
Take g= 10 m/s2
(a) Calculate the magnitude of the net torque on the pendulum with respect to the point P when θ=5∘. (magnitude; in Nm)
τP=
unanswered
(b) What is the magnitude of the angular acceleration α=θ¨ of the pendulum when θ=5∘? (magnitude; in radians/s2)
α=
unanswered
(c) What is the period of oscillation T of the pendulum? (in seconds)
T=

8:01 final question. The easiest one.

damon can u please tell me about the T that is the last part of this question

omega= sqrt((kl^2+mgl)/I)

please tell me the exact expression for this question.

ôP= 1.83
á= 1.84
T= 1.37 
Can you plz give out the formula??

I = m L^2 + (2/3) m R^2
(k L^2 + mgL)T = .885 d^2T/dt^2
well calculate the coefficient of T on the left e.g.
(7 + 8) T = .885 d^2T/dt^2
.885 d^2T/dt^2 =  15 T
Torque = 15T where T = 5 * pi/180
alpha = d^2T/dt^2 =  15 T /.885 
.885 w^2 = 15
w = 2 pi f = 2 pi/period = 4.11 for example and you solve fot period
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