What will be the acceleration of centre of mass (in m/s2 ) of the system of two blocks as shown in figure (g = 10 m / s2) ?

Question

What will be the acceleration of centre of mass (in m/s2 ) of the system of two blocks as shown in figure (g = 10 m / s2) ? <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-9ef4grsu6ekmdkpb.jpg" /> (A) Zero (B) (12 hati - 8 hatj/5) (C) (12 hati - 4 hatj/5) (D) (4 hati - 12 hatj/5)

Tardigrade Admin · Accepted Answer

a=(2 g/2 + 3)=4m/s2 ( overset arrow a)CM=(m1 ( overset arrow a)1 + m2 ( overset arrow a)2/m1 + m2)=(3 (. 4 hati .) + 2 (. - 4 hatj .)/3 + 2)=(12 hati - 8 hatj/5)

Q. What will be the acceleration of centre of mass (in $m / s^{2}$ ) of the system of two blocks as shown in figure $(g = 10 m / s^{2})$ ?

Zero

$\frac{12 i ^ - 8 j ^}{5}$

$\frac{12 i ^ - 4 j ^}{5}$

$\frac{4 i ^ - 12 j ^}{5}$

$a = \frac{2 g}{2 + 3} = 4 m / s^{2}$
$(a \to)_{CM} = \frac{m _{1} ( a \to ) _{1} + m _{2} ( a \to ) _{2}}{m _{1} + m _{2}} = \frac{3 ( 4 i ^ ) + 2 ( - 4 j ^ )}{3 + 2} = \frac{12 i ^ - 8 j ^}{5}$

Q. What will be the acceleration of centre of mass (in m/s2 ) of the system of two blocks as shown in figure (g=10m/s2) ?

Zero

512i^−8j^​​

512i^−4j^​​

54i^−12j^​​

a=2+32g​=4m/s2 (a→)CM​=m1​+m2​m1​(a→)1​+m2​(a→)2​​=3+23(4i^)+2(−4j^​)​=512i^−8j^​​

Q. What will be the acceleration of centre of mass (in $m / s^{2}$ ) of the system of two blocks as shown in figure $(g = 10 m / s^{2})$ ?

$\frac{12 i ^ - 8 j ^}{5}$

$\frac{12 i ^ - 4 j ^}{5}$

$\frac{4 i ^ - 12 j ^}{5}$

$a = \frac{2 g}{2 + 3} = 4 m / s^{2}$
$(a \to)_{CM} = \frac{m _{1} ( a \to ) _{1} + m _{2} ( a \to ) _{2}}{m _{1} + m _{2}} = \frac{3 ( 4 i ^ ) + 2 ( - 4 j ^ )}{3 + 2} = \frac{12 i ^ - 8 j ^}{5}$