The handle of a door is at a distance $40 c m$ from axis of rotation. If a force $5 N$ is applied on the handle in a direction $30^{\circ}$ with plane of door, then the torque is

$0.8 N m$

$1 N m$

$1.6 N m$

$2 N m$

Video Solution

Text Solution

Verified by Experts

The correct Answer is:B

$τ = r F \sin θ$

Updated on:21/07/2023

Class 11 PHYSICS RIGID BODY DYNAMICS

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Knowledge Check

Question 1 - Select One
A particle is at a distance r from the axis of rotation. A given torque $τ$ produces some angular acceleration in it. If the mass of the particle is doubled and its distance from the axis is halved, the value of torque to produce the same angular acceleration is -
A $τ / 2$
B $τ$
C $2 τ$
D $4 τ$
Question 1 - Select One
A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P, which is at a distance given by $\to r = (3 ˆ i + ˆ j) m$ from the axis of rotation.
What is the direction of the torque acting on the body?
APositive X axis
BPositive Y axis
CPositive Z axis
DNegative Z axis
Question 1 - Select One
A : The moment of force is maximum for a point if force applied on it and its position vector w.r.t. the point of rotation are perpendicular.
R : The magnitude of torque is independent of the direction of application of force.
AIf both Assertion & Reason are true and the reason is the correct explanation of the assertion,
BIf both Assertion & Reason are true but the reason is not the correct explanation of the assertion,
CIf Assertion is true statement but Reason is false,
DIf both Assertion and Reason are false statements,
Question 1 - Select One
The radius of a solid sphere I 40 cm. The radius of gyration when the axis of rotation is along a tangent in a plane in cm is
A $5 \sqrt{35}$
B $10 \sqrt{35}$
C $8 \sqrt{35}$
D $4 \sqrt{35}$
Question 1 - Select One
A disc of radius 10 cm can rotate about an axis passing through its centre and perpendicular to its plane. A force of 10 N is applied along the tangent in the plane of the disc. If the moment of inertia of the disc about its centre is $5 k g m^{2}$ , then the increase in the angular velocity of the disc in 10 s will be
A2 rad/s
B4 rad/s
C1 rad/s
D50 rad/s
Question 1 - Select One
A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P , which is at a distance , give by $\to r = (3 ˆ i + ˆ j)$ m form the axis of rotation .
What is the direction of the torque acting on the body ?
APositive X axis
BPositive Y axis
CPositive Z axis
DNegative Z axis

The handle of a door is at a distance $40 c m$ from axis of rotation. If a force $5 N$ is applied on the handle in a direction $30^{\circ}$ with plane of door, then the torque is

The correct Answer is:B

$τ = r F \sin θ$

Related Playlists

Knowledge Check

A particle is at a distance r from the axis of rotation. A given torque $τ$ produces some angular acceleration in it. If the mass of the particle is doubled and its distance from the axis is halved, the value of torque to produce the same angular acceleration is -

A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P, which is at a distance given by $\to r = (3 ˆ i + ˆ j) m$ from the axis of rotation.
What is the direction of the torque acting on the body?

A : The moment of force is maximum for a point if force applied on it and its position vector w.r.t. the point of rotation are perpendicular.
R : The magnitude of torque is independent of the direction of application of force.

The radius of a solid sphere I 40 cm. The radius of gyration when the axis of rotation is along a tangent in a plane in cm is

A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P , which is at a distance , give by $\to r = (3 ˆ i + ˆ j)$ m form the axis of rotation .
What is the direction of the torque acting on the body ?

Similar Questions

NARAYNA-SYSTEM OF PARTICLES-Level -I(H.W)

The handle of a door is at a distance 40 c m from axis of rotation. If a force 5 N is applied on the handle in a direction 30 ∘ with plane of door, then the torque is

The correct Answer is:B

τ = r F sin θ

Related Playlists

Knowledge Check

A particle is at a distance r from the axis of rotation. A given torque τ produces some angular acceleration in it. If the mass of the particle is doubled and its distance from the axis is halved, the value of torque to produce the same angular acceleration is -

A force →F=(ˆi+3ˆj)N acts on a body at a point P, which is at a distance given by →r=(3ˆi+ˆj)m from the axis of rotation. What is the direction of the torque acting on the body?

A : The moment of force is maximum for a point if force applied on it and its position vector w.r.t. the point of rotation are perpendicular. R : The magnitude of torque is independent of the direction of application of force.

The radius of a solid sphere I 40 cm. The radius of gyration when the axis of rotation is along a tangent in a plane in cm is

A force →F=(ˆi+3ˆj)N acts on a body at a point P , which is at a distance , give by →r=(3ˆi+ˆj) m form the axis of rotation . What is the direction of the torque acting on the body ?

Similar Questions

NARAYNA-SYSTEM OF PARTICLES-Level -I(H.W)

The handle of a door is at a distance $40 c m$ from axis of rotation. If a force $5 N$ is applied on the handle in a direction $30^{\circ}$ with plane of door, then the torque is

$τ = r F \sin θ$

A particle is at a distance r from the axis of rotation. A given torque $τ$ produces some angular acceleration in it. If the mass of the particle is doubled and its distance from the axis is halved, the value of torque to produce the same angular acceleration is -

A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P, which is at a distance given by $\to r = (3 ˆ i + ˆ j) m$ from the axis of rotation.
What is the direction of the torque acting on the body?

A : The moment of force is maximum for a point if force applied on it and its position vector w.r.t. the point of rotation are perpendicular.
R : The magnitude of torque is independent of the direction of application of force.

A force $\to F = (ˆ i + 3 ˆ j) N$ acts on a body at a point P , which is at a distance , give by $\to r = (3 ˆ i + ˆ j)$ m form the axis of rotation .
What is the direction of the torque acting on the body ?