Uniform Circular Motion

Q.

A boy is sitting on a merry-go-round which is moving with a constant speed. This means that the boy is

1. moving with uniform velocity.

2. at rest.

3. moving with no acceleration.

4. in accelerated motion.

Q.

Uniform circular motion is called continuously accelerated motion because

1. direction of motion changes continously

2. speed changes

3. velocity remains same

4. direction of motion does not change

Q.

In uniform circular motion, acceleration is equal to zero.

1. True

2. False

Q. State whether the given statement is True or False :

1. True
2. False

Q. The type of motion of a body covering unequal distances in equal intervals of time, is

1. uniform
2. periodic
3. oscillatory
4. non-uniform

Q.

In uniform circular motion, acceleration must be zero.

1. True

2. False

Q. what is the difference between optimum speed and maximum speed during banking of roads? Also explain that at optimum speed the friction force is not required to produce centripetal force

Q. Define motion. What do you understand by the terms 'uniform motion' and 'non-uniform motion' ? Explain with examples.

Q. Circular motion is the "only" form of periodic motion.

1. False
2. True

Q. A body is travelling in a circle of radius $10\text{cm}$ as shown. Which of the following statements are true when the body reaches $\text{N}$ from $\text{M}$ along the circumference of the circle in $1\text{min}$?

1. The distance covered by the body $=5\pi \text{cm}$
2. The displacement of the body $=10\sqrt{2}\text{cm}$
3. The average speed of the body $=\frac{\pi }{12}\text{cm}{\text{s}}^{-1}$
4. The average velocity of the body $=\frac{1}{3\sqrt{2}}\text{cm}{\text{s}}^{-1}$

Q. In the following figure, a body starts from G, and reaches D via A, B and C.


Calculate the ratio of the total distance travelled to the total displacement of the body if the curves GA and BC have the same radius, and all the lengths given are in feet.

1. $\frac{66}{35}$
2. $\frac{53}{35}$
3. $\frac{11}{53}$
4. $\frac{35}{53}$

Q. Equations of motion are developed for objects having__________.

1. varying time
2. constant velocity
3. constant speed
4. constant acceleration

Q.

a body is moving on a curved path with a constant speed .what is the nature of its acceleration.explain

Q. Define rotation and revolution.

Q.

Differentiate uniform linear motion and uniform circular motion.

Q. (a) define uniform circular motion
(b) Is it an accelerated motion
(c) if yes, what is the direction of acceleration
(d) give an example of this type of motion

Q. A particle is projected at an angle of ${30}^{\circ }$ with respect to the horizontal with speed $20m/s$. Find the position vector of the particle after $1s$.

1. $\sqrt{(10\sqrt{3}{)}^2+5^2}$
2. $\sqrt{(10\sqrt{3}{)}^2-5^2}$
3. $\sqrt{(10\sqrt{3}{)}^2+5}$
4. $\sqrt{(10\sqrt{3}{)}^2-5}$

Q.

In a circular motion, the direction of velocity at any point is along the __.

Q. The type of motion of a body covering unequal distances in equal intervals of time, is

1. uniform
2. non-uniform
3. periodic
4. oscillatory

Q. In the following figure, a body starts from G, and reaches D via A, B and C.


Calculate the ratio of the total distance travelled to the total displacement of the body if the curves GA and BC have the same radius, and all the lengths given are in feet.

1. $\frac{66}{35}$
2. $\frac{53}{35}$
3. $\frac{35}{53}$
4. $\frac{11}{53}$

Q. The velocity of a toy dropped from a 20 m tower just before it hits the ground is: (Take g = 10)

1. 15 m/s
2. 18 m/s
3. 20 m/s
4. 21 m/s

Q. In the following figure, a body starts from G, and reaches D via A, B and C.


Calculate the ratio of the total distance travelled to the total displacement of the body if the curves GA and BC have the same radius, and all the lengths given are in feet.

1. $\frac{35}{53}$
2. $\frac{11}{53}$
3. $\frac{66}{35}$
4. $\frac{53}{35}$

Q.

A boy is sitting on a merry-go-round which is moving with a constant speed. This means that the boy is

1. at rest.

2. moving with no acceleration.

3. in accelerated motion.

4. moving with uniform velocity.

Q.

Motion of a satellite in circular orbit is an example of

1. Uniform circular motion

2. Uniform linear motion

3. Non-uniform linear motion

4. Non-uniform circular motion

Q. A boy is sitting on a merry-go-round which is moving with a constant speed of 10ms-1, this means that the boy is A) at rest B) moving with no acceleration C) in accelerated motion D) moving with uniform velocity

Q. Equations of motion are developed for objects having__________.

1. constant acceleration
2. constant speed
3. varying time
4. constant velocity

Q. Fill in the blank.

Q. Four students discuss about the possible paths of a particle moving with constant speed See the table for the results of the discussion

Name	Possible path or paths
Anand	Any path
Srinu	Straight line, Circle, Helix
Krishna	Straight line
Somesh	Straight line, Circle

Who is correct? Assume that the forces acting on the particle are time independent

1. Srinu
2. Anand
3. Somesh
4. Krishna

Q. Velocity of an object in uniform circular motion is constant.

1. False
2. True

Q. The type of motion of a body covering unequal distances in equal intervals of time, is

1. periodic
2. non-uniform
3. oscillatory
4. uniform