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Q.

A body is sliding down a rough inclined plane which makes angle $30 °$ with the horizontal. The coefficient of the friction between the surfaces of contact of the body and the plane is 0.25. Calculate the acceleration.

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a

1.65 {ms}^{- 2}

b

3.42 {ms}^{- 2}

c

2.78 {ms}^{- 2}

d

1.4 {ms}^{- 2}

answer is C.

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Detailed Solution

mg \sin θ - f = ma

$mgsin θ - μ mgcos θ = ma$

$a = 9 .8 \times \frac{1}{2} - 0.25 \times 9.8 \times \frac{\sqrt{3}}{2}$

$a = 4.9 - 4.9 \frac{\sqrt{3}}{4} = 2.78 {m/s}^{2}$

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A body is sliding down a rough inclined plane which makes angle30° with the horizontal. The coefficient of the friction between the surfaces of contact of the body and the plane is 0.25. Calculate the acceleration.