problem 1: If we neglect the friction between m1 and table. The pulley mass is m

Question

problem 1: If we neglect the friction between m1 and table. The pulley mass is mp, (i) what is the acceleration of the system?

(ii) If m2 start h (m) from the ground what is the speed when m2 hit the ground?




Problem 2: Suppose this ring pendulum consists of a thin metal ring that can be suspended from a knife edge.
a) What is the period if the ring diameter is 10 cm
(suppose the ring is very thin)

b) If you plot log T vs log D( diameter) what is the slope?

c) If you had data from a lot of T and D, you may plot T2 vs D figure. how you use a slope to find the gravitational acceleration g?

Explanation / Answer

According to the Newton's second law of motion

for m2:   m2g-T = m2a   .....(1)

for m1 :   m1a = T .....(2)

from eq's 1 and 2 we get

final velocity v = sqrt(2gh)

                      = sqrt(2*ah)

** please post each quation separately.

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