A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at with the horizontal. The tension in the cord is 30 N. The acceleration of the box is (Take (g = 10 ) [2024]

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Solution

Q.
A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at $30 °$ with the horizontal. The tension in the cord is 30 N. The acceleration of the box is (Take g = 10 ${ms}^{- 2}$ ) [2024]

1 2 ${ms}^{- 2}$

2 zero

3 0.1 ${ms}^{- 2}$

4 1 ${ms}^{- 2}$

Ans.
(4)

From the given figure,

$m a = T - m g \sin θ$

$5 a = 30 - 5 \times 10 \times \frac{1}{2}$

$5 a = 30 - 25$

$a = 1$ ${m/s}^{2}$

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