Question

An object is kept on a smooth inclined plane of height 3 unit and length 5 units. The horizontal acceleration to be imparted to the inclined plane so that block remains at rest with respect to inclined plane is (Take g = 10m/s)​

Answer 1

Answer:

The above figure shows a body that is kept one smooth inclined plane of inclined 1 in x.

Let the inclined angle is θ

sinθ=

l

1

tanθ=

x

2

−l

1

Now see the above free body diagram

macosθ=mgsinθ

a=gtanθ

Put tanθ=

r

2

−l

1

a=g

r

2

−l

1

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Answer 2

$\boxed{\bf{\blue{\longrightarrow Answer}}}$

• Using Law of motion
• ${v}^{2} - {u}^{2} = 2gs$
• Here v will be 0 because block will be at rest when it's down
• ${u}^{2} = - 2 \times 10 \times \sqrt{{3}^{2} + {5}^{2}} \\ = - 20 \times \sqrt{34}$
• $= - 20 \sqrt{34}$