Tag: turning effect of force

Questions Related to turning effect of force

State whether true or false.
A couple can never be replaced by a single force.

  1. True

  2. False


Correct Option: A
Explanation:

A couple is defined as a pair of two equal and opposite parallel forces acting along two different lines. A couple can produce roatation in the body but not the translational motion. A single force can produce translation motion in the body. Thus the given statement is true that a couple can never be replaced by a single force.

State whether true or false.
A couple tends to produce motion in a straight line.

  1. True

  2. False


Correct Option: B
Explanation:

Couple tends to rotate the body but it does not produce translational motion. Thus the given statement is false.

State whether true or false.
Only a couple can produce pure rotation in a body.

  1. True

  2. False


Correct Option: A
Explanation:

A couple is defined as a pair of two equal and opposite parallel forces acting along two different lines. Since net force acting on the body is zero, so the body is in translatory equilibrium. A couple produces torque which rotates the body. Thus the given statement is true that only a couple can produce pure rotation in a body.

While opening a tap with two fingers, the forces applied by the fingers are:

  1. equal in magnitude

  2. parallel to each other

  3. opposite in direction

  4. all the above


Correct Option: D
Explanation:

A couple has to be applied to the tap in order to open it. A couple is the combination of two equal and opposite parallel forces acting at different axes. Thus option D is correct.

$ML^2T^{-2}$ is the dimensional formula for

  1. moment of inertia

  2. pressure

  3. elasticity

  4. couple acting on a body


Correct Option: D
Explanation:

$\left[ MOI \right] =\left[ M{ R }^{ 2 } \right] =\left[ { M }^{ 1 }{ L }^{ 2 }{ T }^{ 0 } \right] \ \left[ Pressure \right] =\left[ N/{ M }^{ 2 } \right] =\left[ { M }^{ 1 }{ L }^{ -1 }{ T }^{ -2 } \right] \ \left[ Couple \right] =\left[ N.{ M } \right] =\left[ { M }^{ 1 }{ L }^{ 2 }{ T }^{ -2 } \right] $

An automobile engine develops $100$ $kW$ when rotating at a speed of $1800\ rev/min$. The torque it delivers is

  1. $3.33\ N-m$

  2. $200\ N-m$

  3. $530.5\ N-m$

  4. $2487\ N-m$


Correct Option: C
Explanation:

$Power\quad P=100kW\quad =100000W\ w=1800\times \cfrac { 2\pi  }{ 60 } \quad rad/s\ \quad =60\pi \quad rad/s\ P=torque\times w\ torque=530.5\quad Nm$

A couple produces motion in a straight line.

  1. True

  2. False


Correct Option: B
Explanation:

a couple produces rotational motion of a body . 

so the answer is B.

While opening a tap with two fingers, the forces applied are  

  1. equal in magnitude

  2. parallel to each other

  3. opposite in direction

  4. All of the above


Correct Option: D
Explanation:

While opening a tap with two fingers, a couple should be applied which is defined as a pair of parallel equal forces acting in opposite direction about two different axis.

On applying a constant torque on a body-

  1. linear velocity increases

  2. angular velocity changes

  3. it will rotate with constant angular velocity

  4. it will move with constant velocity


Correct Option: B

_____ is applied to unwind a screw.

  1. Single force

  2. Couple

  3. Parallel force

  4. None of these


Correct Option: B
Explanation:

Two equal and opposite forces are applied about different axis, which is termed as couple, to unwind a screw.