Free Printable Uniform CM & Vertical CM

1.

In uniform circular motion..........

a)

the angular velocity remains constant

b)

the angular velocity changes

c)

the angular acceleration remains constant

d)

the angular acceleration changes

2.

The vector representation for centrifugal force is..............

a)

$\overrightarrow{\ F\ }=-\ m\omega^2\ \overrightarrow{\ r\ }$

b)

$\overrightarrow{F\ }=-\ m\omega^2r$

c)

$\overrightarrow{F\ }=m\omega^2r$

d)

$\overrightarrow{F\ }=m\omega^2\overrightarrow{\ r\ }$

3.

The angular acceleration will have the same direction as the angular velocity in circular motion when . . . . . . . .

a)

the angular velocity is zero

b)

the angular velocity increases

c)

the angular velocity decreases

d)

the angular velocity remains constant

4.

The frequency of the conical pendulum is given by................

a)

$\frac{1}{2\pi}\sqrt[]{\frac{g}{l\ \cos\theta}}$

b)

$\frac{1}{2\pi}\sqrt[]{\frac{l\ \cos\theta}{g}}$

c)

$2\pi\ \sqrt[]{\frac{l\ \cos\theta}{g}}$

d)

$2\pi\sqrt[]{\frac{g}{l\ \cos\theta}}$

5.

The force static friction is ________ $\mu_s.N$

a)

less than

b)

equal to

c)

greater than

d)

less than or equal to

6.

What is banking of roads?

4 lines

7.

For the safe speed of a vehicle on a banked road, the coefficient of static friction $\mu_s$ is ............

a)

equal to 1

b)

between 0 & 1

c)

0

d)

$\infty$

8.

The tension at the highest point in vertical circular motion, is ............

a)

$\frac{mv_A^2}{r}$

b)

$mg\ +\frac{mv_A^2}{r}$

c)

$mg\ -\frac{mv_A^2}{r}$

d)

$\frac{mv_A^2}{r\ }-mg$

9.

The difference between the tensions at the highest and the lowest positions in a vertical circular motion is .................

a)

6 mg

b)

4 mg

c)

3 mg

d)

2 mg

10.

A fan rotating with an angular speed of 40 rad/s comes to a stop in 20 seconds. What is the angular acceleration?

a)

b)

c)

d)

11.

A flat curve on a highway has a radius of curvature 400 m. A car goes around the curve at a speed of 32 m/s. What is the minimum value of coefficient of friction that will prevent the car from sliding? (g = 10 m/ $s^2$ )

a)

0.08

b)

0.8

c)

0.256

d)

2.56

12.

An object of mass 1 kg tied to one end of a string of length 9 m is whirled in a vertical circle. What is the minimum speed required at the lowest position to complete the circle? ( g = 9.8 m/ $s^2$ )

a)

21 m/s

b)

9 m/s

c)

7 m/s

d)

2.1 m/s

Uniform CM & Vertical CM

Total questions: 12

Worksheet time: 8mins

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