Question

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Problem 2 Attempt 5 A block of mass m1 3.00 slugs, on a smooth inclined plane of angle 30.0 degrees, is connected by a cord over a small frictionless pulley to a second block of mass m2 20.0 slugs, hanging vertically at the top of the incline. What is the acceleration (in feet/second 2) of the masses? Enter your response here Submit Reset

Answer 1

Let the tension in string be T and acceleration be a.

Using force equations, T - m1g sin 30 degree = m1a

m2g - T = m2a

adding both, m2g - m1g sin 30 degree = a*(m1+m2)

32.2*(20 - 3*0.5) = a*(3+20)

a = 32.2*18.5/23

= 25.9 ft/s^2 answer