Two blocks of masses are on a frictionless double inclined plane connected by a rope as...
Two blocks of masses 
are on a frictionless double inclined plane
connected by a rope as shown in the figure. What is the
acceleration of the two-mass system?
Homework Answers
The acceleration of the two-mass system which will be given as :
From free body diagram of above figure, we have
on horizontal x-axis, T = m1 a
on vertical y-axis, m2 g - T = m2 a
then, m2 g - m1 a = m2 a
m2 g = m2 a + m1 a
m2 g = a (m1 + m2)
a = m2 g / (m1 + m2)
where, m1 = mass of block 1 = 15 kg
m2 = mass of block 2 = 25 kg
g = acceleration due to gravity = 9.8 m/s2
a = (25 kg) (9.8 m/s2) / [(15 kg) + (25 kg)]
a = (245 kg.m/s2) / (40 kg)
a = 6.12 m/s2
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