Question
Asked Nov 22, 2019
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Two packing crates of masses m1 = 10.0 kg and m2 = 5.60 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 5.60-kg crate lies on a smooth incline of angle 41.0°. Find the following.

 

(a) the acceleration of the 5.60-kg crate
 

m/s2 (up the incline)

 

(b) the tension in the string
 

N

т
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т

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Expert Answer

Step 1

Let T and a are the tension and the acceleration of both mass.

Consider the FBD of both mass below.

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1T

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Step 2

 Write Newton’s law for m1 and plug the suitable values.

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ΣF-0 mg-T m,a = (10 kg)(9.81 m/s)-T= (10 kg)a ....(1)

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Step 3

 Similarly, write Newton’s law for m2 in x-d...

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Σr, T-mgsin0 m2a T-(5.6 kg) (9.81 m/s )sin 41° = (5.6 kg)a х ..(2)

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