First slide

Application of Newtons laws

Question

If block A is moving with an acceleration of 5 m s^-2, the acceleration of B w.r.t ground is

Moderate

A

$5 {ms}^{- 2}$
B

$5 \sqrt{2} {ms}^{- 2}$
C

$5 \sqrt{5} {ms}^{- 2}$
D

$10 {ms}^{- 2}$

Solution

By virtual work method:
Acceleration of B w.r.t. A will be 10 ms^-2 downward.
Apart from this, B also has an acceleration 5 ms^-2 in horizontal
direction along with A, so net acceleration of B is
$\sqrt{10^{2} + 5^{2}} = \sqrt{100 + 25} = \sqrt{125} = 5 \sqrt{5} {ms}^{- 2}$

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