Problem 5.24 Two boxes (mi 55.0 kg and m2 41.5 kg) are connected by a light stri

Question

Problem 5.24 Two boxes (mi 55.0 kg and m2 41.5 kg) are connected by a light string that passes over a light, frictionless pulley. One box rests on a frictionless ramp that rises at 30.0 above the horizontal (see the figure below), and the system is released from rest (Eigure 1) Figure 1 of 1 m2 30.0 Part C Which way will the 55.0 Dox move up the plane or down the plane? or wil teven move a It wifi mave up the plane. It will move down the plane. It will not move. Submit My Answers Give up Correct Part D Find the acceleration of oach box, Express your answer in meters per second squared to three significant figures. a. 700 Submit Mo Answers one up Incorrect; Try Again; 4 attempts remaining Continue Provide Foedback

Explanation / Answer

Problem 5.24

Writing equations of motion for m1

T - (m1*g*sin(30)) = m1*a

T = m1*a + (m1*g*sin(30))...............(1)

for m2

m2g -T = m2*a

T = m2g - m2a.................(2)

From (1) and (2)

m1*a + (m1*g*sin(30)) = m2g - m2a

a(m1+m2) = m2g - (m1*g*sin(30))

a(55+41.5) = (41.5*9.8) - (55*9.81*sin(30))

accelaration is a = 1.42 m/s^2

part C) it will move up the plane

part D) a = 1.42 m/s^2

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