269428
Two bodies of masses\(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are moving towards each other with \(2 \mathrm{~ms}^{-1}\) and \(4 \mathrm{~ms}^{-1}\) respectively. Then velocity of centre of mass is
1 \(0.25 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
2 \(0.5 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
3 \(0.25 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
4 \(0.5 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
269429
A circular disc of radius\(20 \mathrm{~cm}\) is cut from one edge of a larger circular disc of radius \(50 \mathrm{~cm}\). The shift of centre of mass is
1 \(5.7 \mathrm{~cm}\)
2 \(-5.7 \mathrm{~cm}\)
3 \(3.2 \mathrm{~cm}\)
4 \(-3.2 \mathrm{~cm}\)
Explanation:
shift \(=-\frac{r^{2} d}{R^{2}-r^{2}}\)
Rotational Motion
269430
Two particles of masses\(4 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are separated by a distance of \(20 \mathrm{~m}\) and are moving towards each other under mutual force of attraction, the position of the point where they meet is
1 \(12 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
2 \(12 \mathrm{~m}\) from \(6 \mathrm{~kg}\) body
3 \(8 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
4 \(10 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
Explanation:
\(m_{1} r_{1}=m_{2} r_{2}\)
Rotational Motion
269431
A uniformmetre rod is bent into \(L\) shape with the bent arms at \(90^{\circ}\) to each other. The distance of the center of mass from the bent point is
269428
Two bodies of masses\(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are moving towards each other with \(2 \mathrm{~ms}^{-1}\) and \(4 \mathrm{~ms}^{-1}\) respectively. Then velocity of centre of mass is
1 \(0.25 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
2 \(0.5 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
3 \(0.25 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
4 \(0.5 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
269429
A circular disc of radius\(20 \mathrm{~cm}\) is cut from one edge of a larger circular disc of radius \(50 \mathrm{~cm}\). The shift of centre of mass is
1 \(5.7 \mathrm{~cm}\)
2 \(-5.7 \mathrm{~cm}\)
3 \(3.2 \mathrm{~cm}\)
4 \(-3.2 \mathrm{~cm}\)
Explanation:
shift \(=-\frac{r^{2} d}{R^{2}-r^{2}}\)
Rotational Motion
269430
Two particles of masses\(4 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are separated by a distance of \(20 \mathrm{~m}\) and are moving towards each other under mutual force of attraction, the position of the point where they meet is
1 \(12 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
2 \(12 \mathrm{~m}\) from \(6 \mathrm{~kg}\) body
3 \(8 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
4 \(10 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
Explanation:
\(m_{1} r_{1}=m_{2} r_{2}\)
Rotational Motion
269431
A uniformmetre rod is bent into \(L\) shape with the bent arms at \(90^{\circ}\) to each other. The distance of the center of mass from the bent point is
269428
Two bodies of masses\(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are moving towards each other with \(2 \mathrm{~ms}^{-1}\) and \(4 \mathrm{~ms}^{-1}\) respectively. Then velocity of centre of mass is
1 \(0.25 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
2 \(0.5 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
3 \(0.25 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
4 \(0.5 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
269429
A circular disc of radius\(20 \mathrm{~cm}\) is cut from one edge of a larger circular disc of radius \(50 \mathrm{~cm}\). The shift of centre of mass is
1 \(5.7 \mathrm{~cm}\)
2 \(-5.7 \mathrm{~cm}\)
3 \(3.2 \mathrm{~cm}\)
4 \(-3.2 \mathrm{~cm}\)
Explanation:
shift \(=-\frac{r^{2} d}{R^{2}-r^{2}}\)
Rotational Motion
269430
Two particles of masses\(4 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are separated by a distance of \(20 \mathrm{~m}\) and are moving towards each other under mutual force of attraction, the position of the point where they meet is
1 \(12 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
2 \(12 \mathrm{~m}\) from \(6 \mathrm{~kg}\) body
3 \(8 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
4 \(10 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
Explanation:
\(m_{1} r_{1}=m_{2} r_{2}\)
Rotational Motion
269431
A uniformmetre rod is bent into \(L\) shape with the bent arms at \(90^{\circ}\) to each other. The distance of the center of mass from the bent point is
269428
Two bodies of masses\(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are moving towards each other with \(2 \mathrm{~ms}^{-1}\) and \(4 \mathrm{~ms}^{-1}\) respectively. Then velocity of centre of mass is
1 \(0.25 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
2 \(0.5 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
3 \(0.25 \mathrm{~ms}^{-1}\) towards \(5 \mathrm{~kg}\)
4 \(0.5 \mathrm{~ms}^{-1}\) towards \(3 \mathrm{~kg}\)
269429
A circular disc of radius\(20 \mathrm{~cm}\) is cut from one edge of a larger circular disc of radius \(50 \mathrm{~cm}\). The shift of centre of mass is
1 \(5.7 \mathrm{~cm}\)
2 \(-5.7 \mathrm{~cm}\)
3 \(3.2 \mathrm{~cm}\)
4 \(-3.2 \mathrm{~cm}\)
Explanation:
shift \(=-\frac{r^{2} d}{R^{2}-r^{2}}\)
Rotational Motion
269430
Two particles of masses\(4 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are separated by a distance of \(20 \mathrm{~m}\) and are moving towards each other under mutual force of attraction, the position of the point where they meet is
1 \(12 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
2 \(12 \mathrm{~m}\) from \(6 \mathrm{~kg}\) body
3 \(8 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
4 \(10 \mathrm{~m}\) from \(4 \mathrm{~kg}\) body
Explanation:
\(m_{1} r_{1}=m_{2} r_{2}\)
Rotational Motion
269431
A uniformmetre rod is bent into \(L\) shape with the bent arms at \(90^{\circ}\) to each other. The distance of the center of mass from the bent point is