Angular Acceleration

Q. A wheel is making rotations about its axis with uniform angular acceleration. Starting from rest, it reaches 100 rot/s in 4 seconds. It's angular acceleration is

1. $50\frac{rot}{s^2}$
2. $25\frac{rot}{s^2}$
3. $40\frac{rot}{s^2}$
4. $500\pi \frac{radians}{s^2}$

Q. A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle ${\theta }_1$. In the next 2 sec, it rotates through an additional angle ${\theta }_2$ . The ratio of angles is

1. 1
2. 2
3. 3
4. 5

Q. A wheel is rolling on a horizontal plane. At a certain instant, it has a velocity ${}^{\prime }{v}^{\prime }$ and acceleration ${}^{\prime }{a}^{\prime }$ of CM as shown in figure. Acceleration of

1. $A$ is vertically upwards
2. $B$ may be vertically downwards
3. $C$ cannot be horizontal
4. some points on the rim may be horizontal leftwards

Q. In figure (i), half of the meter scale is made of wood while the other half of steel. The wooden part is pivoted at $O$ and a force $F$ is applied at the end of steel part. In figure (ii), the steel part is pivoted at $O$ and the same force is applied at the wooden end.

1. More angular acceleration will be produced in (i)
2. More angular acceleration will be produced in (ii)
3. Same angular acceleration will be produced in both the conditions
4. Information is incomplete

Q. A uniform rod $AB$ of length $l$ and mass $m$ is free to rotate about point $A$. The rod is released from rest in horizontal position. Given that the moment of inertia of the rod about $A$ is $\frac{m{l}^2}{3}$. The initial angular acceleration of the rod will be

1. $\frac{2g}{3l}$
2. $\frac{mgl}{2}$
3. $\frac{3gl}{2}$
4. $\frac{3g}{2l}$

Q.

A rope of negligible mass is wound round a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? What is the linear acceleration of the rope?

Q. A rod and a block are of same mass. Initially rod is in horizontal position. What will be acceleration of tip of the rod just after the system is released from this position shown in figure?

1. Zero
2. $\frac{3g}{4}$
3. $\frac{3g}{8}$
4. $\frac{3g}{2}$

Q. A wheel is rolling on a horizontal plane. At a certain instant, it has a velocity ${}^{\prime }{v}^{\prime }$ and acceleration ${}^{\prime }{a}^{\prime }$ of CM as shown in figure. Acceleration of

1. $A$ is vertically upwards
2. $B$ may be vertically downwards
3. $C$ cannot be horizontal
4. some points on the rim may be horizontal leftwards

Q. A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 sec, it rotates through an angle ${\theta }_1$. In the next 2 sec, it rotates through an additional angle ${\theta }_2$ . The ratio of angles is

1. 1
2. 2
3. 3
4. 5

Q. In figure (i), half of the meter scale is made of wood while the other half of steel. The wooden part is pivoted at $O$ and a force $F$ is applied at the end of steel part. In figure (ii), the steel part is pivoted at $O$ and the same force is applied at the wooden end.

1. More angular acceleration will be produced in (i)
2. More angular acceleration will be produced in (ii)
3. Same angular acceleration will be produced in both the conditions
4. Information is incomplete