Question
Asked Oct 15, 2019

Two masses m1 and m2 are connected by a string over multiple ideal pulleys as shown. Whta is a, the upward acceleration of m2?

ultiple ideal
ints)
тi
-?
т2
a =
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ultiple ideal ints) тi -? т2 a =

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check_circleExpert Solution
Step 1

Consider the acceleration of the mass m1 be a1, the acceleration of the mass m2 be a, the tension in the string be T, the length of string that is connected between the pulley and the mass m1 be x1, and the length of string that is connected between the pullies and the mass m2 be x.

 

Consider the free body diagram of the given masses.

T
2T
2T T
M2
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T 2T 2T T M2

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Step 2

The acceleration of the mass m1 can be calculated as,

5x
d'xd(5x)
dt
di
a5a
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5x d'xd(5x) dt di a5a

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Step 3

Apply Newton’s second law on the mass m1., and s...

F-тa,
w, —Т%D т, (5а)
тg -T%3Dт, (5а)
T-m (8-5а)
WI
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F-тa, w, —Т%D т, (5а) тg -T%3Dт, (5а) T-m (8-5а) WI

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