Find the magnitude of acceleration of centre of mass of two blocks as shown in figure. Neglect friction everywhere. (g=10 ms -2)

Question

Find the magnitude of acceleration of centre of mass of two blocks as shown in figure. Neglect friction everywhere. (g=10 ms -2) (A) 1 ms -2 (B) (1/√2) ms -2 (C) √2 ms -1 (D) zero

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<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/4bd1c08f4bdd49e1b525a9a6d15e031f-.png" /> a =( mg sin 53°- mg sin 37°/2 m )=1 ms -2 a cm =|( m 1 vec a 1+ m 2 vec a 2/ m 1+ m 2)|=( a /√2)=(1/√2) ms -2

Q. Find the magnitude of acceleration of centre of mass of two blocks as shown in figure. Neglect friction everywhere. $(g = 10 m s^{- 2})$

$1 m s^{- 2}$

$\frac{1}{2} m s^{- 2}$

$2 m s^{- 1}$

zero

$a = \frac{m g s i n 5 3 ^{\circ} - m g s i n 3 7 ^{\circ}}{2 m} = 1 m s^{- 2}$
$a_{c m} = ∣ ∣ \frac{m _{1} a _{1} + m _{2} a _{2}}{m _{1} + m _{2}} ∣ ∣ = \frac{a}{2} = \frac{1}{2} m s^{- 2}$

Q. Find the magnitude of acceleration of centre of mass of two blocks as shown in figure. Neglect friction everywhere. (g=10ms−2)

1ms−2

2​1​ms−2

2​ms−1