Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a li
ID: 1280339 • Letter: T
Question
Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 6.00 kg crate lies on a smooth incline of angle 45.0°. Find the acceleration of the 6.00 kg crate.
______________ m/s2 (up the incline)
Find the tension in the string.
______________N
Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that passes over a frictionless pulley as in Figure P4.26. The 6.00 kg crate lies on a smooth incline of angle 45.0°. Find the acceleration of the 6.00 kg crate. ______________ m/s2 (up the incline) Find the tension in the string. ______________NExplanation / Answer
the net force is m1g - m2gsin44 (= weight force of m1 - weight force component of m2 parallel to the incline.).
the net force accelerates m1 + m2, so
a = Net force/(m1+m2)
a = (m1g - m2gsin44)/(m1+m2)
a = (10*9.81 - 6*9.81*sin45)/(16)
a = 3.529 m/s
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Tension in the string is
T = m1(g - a) = 10(9.81 - 3.529)
T = 62.81 N
or
T = m2(g*sin45 + a)
T = 6(9.81*sin45 + 3.529)
T = 62.79 N
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