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Shown in the figure are four different pendulums. Find the period of each pendul

ID: 2200817 • Letter: S

Question

Shown in the figure are four different pendulums.


Find the period of each pendulum when it is pulled 20? to the right and then released.

(a) a rod has a mass M and a length L (Use any variable or symbol stated above along with the following as necessary: g.)

T =________


(b) a rod has a mass 2M and a length L (Use any variable or symbol stated above along with the following as necessary: g.)

T =________


(c) a mass M is attached to a massless string of a length L (Use any variable or symbol stated above along with the following as necessary: g.)

T =________


(d) a mass M is attached to a massless string of length 1 2 L (Use any variable or symbol stated above along with the following as necessary: g.)

T = ________

Shown in the figure are four different pendulums. Find the period of each pendulum when it is pulled 20? to the right and then released. (a) a rod has a mass M and a length L (Use any variable or symbol stated above along with the following as necessary: g.) T =________ (b) a rod has a mass 2M and a length L (Use any variable or symbol stated above along with the following as necessary: g.) T =________ (c) a mass M is attached to a massless string of a length L (Use any variable or symbol stated above along with the following as necessary: g.) T =________ (d) a mass M is attached to a massless string of length 1 2 L (Use any variable or symbol stated above along with the following as necessary: g.) T = ________

Explanation / Answer

the rod with uniform massdistribution rotates around point O much like a classical pendulum with effective length equal to 2L/3. a) T=2pi(Leffective/g)^1/2 T=2pi(2L/3g)^1/2 b)time period independent of mass T=2pi(2L/3g)^1/2 c) Leffective = L . T=2pi(L/g)^1/2 d) time period independent of mass T=2pi(L/g)^1/2

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