Two packing crates of masses m1 = 10.0 kg and m2 = 3.20 kg are connected by a li

Question

Two packing crates of masses m1 = 10.0 kg and m2 = 3.20 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 3.20-kg crate lies on a smooth incline of angle 34.0

Two packing crates of masses m1 = 10.0 kg and m2 = 3.20 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 3.20-kg crate lies on a smooth incline of angle 34.0 degree. Find the acceleration of the 3.20-kg crate. m/s2 (up the incline) Find the tension in the string in (N)

Explanation / Answer

for m1 .........................

m1 *g -T = m1*a .....>>(!).........

for m2 ...........

T-m2*g*sin34 = m2*a.......(2)

a = m1 g - m2*g*sin34) /(m1+m2)

) = (10*9.81-3.2*9.81*sin34)/(10+3.2) = 6.10 m/s^2...................

2) T = m1*(g-a) = 37.1 N

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