- 1(current)
Q. No.For which of the following does the centre of mass lie outside the body?
1. A pencil
2. A shotput
3. A dice
4. A bangle
Which of the following points is the likely position of the center of mass of the system shown in the figure?
1. \(A\)
2. \(B\)
3. \(C\)
4. \(D\)
A uniform square plate has a small piece \(Q\) of an irregular shape removed and glued to the center of the plate leaving a hole behind in the figure. The \(COM\) of the plate is now in the following quadrant of the \(x\text-y\) plane.
1. \(\text{I}\)
2. \(\text{II}\)
3. \(\text{III}\)
4. \(\text{IV}\)
The density of a non-uniform rod of length 1m is given by \(\rho ( x) = a \left( 1 + bx^{2} \right)\) where, \(a\), and \(b\) are constants and \(0 \leq x \leq 1\). The centre of mass of the rod will be at:
| 1. | \(\dfrac{3(2+b)}{4(3+b)}\) | 2. | \(\dfrac{4(2+b)}{3(3+b)}\) |
| 3. | \(\dfrac{3(3+b)}{4(2+b)}\) | 4. | \(\dfrac{4(3+b)}{3(2+b)}\) |
The centre of mass of an extended body on the surface of the earth and its centre of gravity:
| (a) | are always at the same point for any size of the body. |
| (b) | are always at the same point only for spherical bodies. |
| (c) | can never be at the same point. |
| (d) | is close to each other for objects, say of sizes less than 100 m. |
| (e) | both can change if the object is taken deep inside the earth. |
Choose the correct alternatives:
2. (a), (d)
3. (d) only
4. (c), (d)
| 1. | are always at the same point for any size of the body. |
| 2. | are always at the same point only for spherical bodies. |
| 3. | is close to each other for objects, say of sizes less than \(100~\text{m}.\) |
| 4. | both can change if the object is taken deep inside the Earth. |
- 1(current)
Q. No.
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