Tag: centre of mass

Questions Related to centre of mass

A point at which a whole weight of body act vertically downward is ________.

  1. centre of gravity

  2. centre of mass

  3. centre of force

  4. centre of acceleration


Correct Option: A

In classical system:

  1. the varying mass system is not considered

  2. the varying mass system must be considered

  3. the varying mass system may be considered

  4. only varying of mass due to velocity is considered


Correct Option: C

Statement 1: When we lean behind over the hind legs of the chair, the chair falls back after a certain angle.

Statement 2: Centre of mass lying outside the system makes the system unstable.

  1. Statement 1 is false, Statement 2 is true

  2. Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for Statement 1

  3. Statement 1 is true, Statement 2 is true; Statement 2 is not a correct explanation for Statement 1

  4. Statement 1 is true, Statement 2 is false


Correct Option: D
Explanation:
The chair falls down after a certain angle because it becomes unstable as the normal reaction by ground on chair becomes zero.
There are several mechanical structure whose COM lies outside its body but they are quite stable.

So option D is correct.

On a stationary sail boat, air is blown at the sails from a fan attached to the boat. The boat will

  1. remain at rest

  2. spin round

  3. move in the direction in which air is blown

  4. move in a direction opposite to that in which air is blown


Correct Option: A
Explanation:

the boat will remain at the rest  because the thrust or recoil force of fan at boat and force of air on the sails will cancel each other and boat will not at all move .

so the answer is A.

The passengers in a boat are not allowed to stand because: 

  1. This will raise the centre of gravity and the boat will be rocked

  2. This will lower centre of gravity and the boat will rocked

  3. The effective weight of system increases

  4. Of surface tension effects


Correct Option: A
Explanation:

when passengers stands up on the boat from the sitting situation , the centre of gravity moves upwards and it increases the chances of toppling of boat .

so the answer is A.

State whether true or false.
The centre of gravity of regular shaped objects is at their geometric centre.
  1. True

  2. False


Correct Option: A
Explanation:

The given statement is true that centre of gravity of rectangular shaped objects is at their geometric centre.

The point through which the total weight of an object appears to act for any orientation of the object is ______.

  1. Centre of buoyancy

  2. Centre of gravity

  3. Centre of curvature

  4. Median of a triangle


Correct Option: B
Explanation:

The point through which the total weight of an object appears to act for any orientation of the object is centre of gravity.

State whether true or false.
The position of centre of gravity of an object depends on the acceleration due to gravity at the given place.
  1. True

  2. False


Correct Option: B
Explanation:
The center of gravity is a geometric property of any object. The center of gravity is the average location of the weight of an object with mass.
Therefore the position of centre of mass has nothing to do with the acceleration due to gravity.
So, the statement is FALSE

The centre of mass of a body:

  1. Lies always at the geometrical center

  2. Lies always inside the body

  3. Lies always outside the body

  4. Lies within or outside the body


Correct Option: D
Explanation:

The centre of mass of a body can lie within or outside the body.

For example, centre of mass of a uniform rod lies at its geometrical centre which lies within the rod whereas centre of mass of a uniform ring lies at its geometrical centre which lies outside the ring.

Two unequal masses are tied together with a cord with a compressed spring in between.
Which of the following energies is conserved for the system?

  1. Kinetic energy

  2. Potential energy

  3. Mechanical energy

  4. None of these


Correct Option: C
Explanation:
Both KE and PE are unserversed.
Hence, the answer is mechanical energy.