A mass m 1 = 6.4 kg rests on a frictionless table. It is connected by a massless

Question

A mass m1 = 6.4 kg rests on a frictionless table. It is connected by a massless and frictionless pulley to a second mass m2= 3.4 kg that hangs freely.

1)

What is the magnitude of the acceleration of block 1?m/s2

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2)

What is the tension in the string?N

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3)

Now the table is tilted at an angle of ? = 76

Explanation / Answer

1)
a = F/m = m2g/(m1+m2)

2)
T = m1a

3)
a = (m2g - m1gsin14)/(m1+m2)

4)
a = m2g - m1gsinx/(m1+m2) = 0 -->
m2g = m1gsinx
x = sin^-1 (m2g/m1g) (with x = angle with horizontal)
x = sin^-1(m2/m1)
angle with vertical = 90-x

5)
F = m1gsin58 - m2g
a = (m1gsin58 - m2g)/(m1+m2)

6)
T in 1) = m1a

T in 3) = m2g - m2a

T in 4) = m2g

T in 5) = m2g + m2a

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