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Question

Question: In the acceleration of the system will be -...

In the acceleration of the system will be -

A

0.5 ms–2

B

0.6 ms–2

C

0.7 ms–2

D

0.8 ms–2

Answer

0.7 ms–2

Explanation

Solution

a = (m1sinαm2sinβ)(m1+m2).g\frac{(m_{1}\sin\alpha - m_{2}\sin\beta)}{(m_{1} + m_{2})}.g

= 40(1/2)30(1/2)40+30(9.8)\frac{40(1/2) - 30(1/2)}{40 + 30}(9.8)

= 201570\frac{20 - 15}{70} × 9.8 = 0.7 m/s2