Pulley Problem: An object of mass m1 (= 40 kg) sits on a horizontal frictionless

Question

Pulley Problem:
An object of mass m1 (= 40 kg) sits on a horizontal frictionless table. The rope attached to it runs horizontally to a pulley and down to a hanging mass m2 (= 15 kg).

(Please use the x and y directions shown to answer the questions below.)

a.) Find the acceleration of each mass, and the size of the tension in the rope:
(Note: Make sure to find the general expressions first; this is an extremely important skill. Only after that, plug in the numerical values.)

m1: a1x = m/s2 , a1y = m/s2

m2: a2x = m/s2 , a2y = m/s2

T = N
(Is it less, the same, or more than the weight of the hanging mass? Does this make sense?)
Checking limits: Using your general expression from above,

b.) if m1 was instead zero, what would be the acceleration of m2?
a2x = m/s2 , a2y = m/s2

c.) if m2 was instead zero, what would be the acceleration of m1?
a1x = m/s2 , a1y = m/s2

(Do your answers from part b/c agree with your intuition?)

Explanation / Answer

1.09 0 43.6n

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