EASY
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Select the SI unit of moment of couple from the given below options.

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Important Questions on Force and Laws of Motion

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In a physical balance working on the principle of moments, when 5mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?
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A wheel of radius, R with an axle of radius, R2 is as shown in the figure and is free to rotate about a frictionless axis through its center and perpendicular to the page. Three forces F, F, 2 F, are exerted tangentially to the respective rims as shown in the figure.

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The magnitude of the net torque acting on the system is nearly, 

EASY
The dimensional formulaML2 T-2represents
HARD
An automobile moves on a road with a speed of 54 km h-1 . The radius of its wheels is 0.45m and the moment of inertia of the wheel about its axis of rotation is 3 kg m2 . If the vehicle is brought to rest in 15 s , the magnitude of average torque transmitted by its brakes to the wheel is:
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Torque per unit moment of inertia is equal to
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Why does a spanner have a long handle?

MEDIUM
State and explain the principle of moments with the help of a diagram.
HARD

Alongside diagram shows AB=25 cm, BC=75 cm. Calculate the distance the efforts moved, if the load is raised by 5 cm.
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MEDIUM

Alongside diagram shows AB=25 cm, BC=75 cm. Calculate the minimum effort required to raise the load of 20 kgf.
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MEDIUM
Forces 2i^+7j^, 2i^-5j^+6k^, -i^+2j^-k^ act at a point P whose position vector is 4i^-3j^-2k^, Then, the vector moment of the resultant of three forces acting at P about point Q, whose position vector is 6i^+j^-3k^ is
EASY
The moment of the force F acting at a point P, about the point C is
HARD
A mechanic can open a nut by applying a force of 150 N while using a lever handle of 40 cm length. How long handle is required if he wants to open it by applying a force of only 50 N?
HARD
A uniform metre scale balances horizontally on a knife-edge placed at 55 cm mark when a mass of 25 g is suspended from one end. Draw a diagram of this arrangement. Calculate the mass of the scale.
EASY
Let the points A, B and P be (-2, 2, 4), (2, 6, 3) and (1, 2, 1) respectively. The magnitude of the moment of the force represented by AB and acting at A about P is
EASY
A force F=2i^+ j^- k^ acts at a point A, whose position vector is 2i^- j^ . The moment of F about the origin is
HARD

A uniform metre ruler balances horizontally on a knife edge placed at the 58 cm mark when a weight of 20 gf is suspended from one end. Draw a diagram of arrangement.

EASY
The moment of a force represented by F= i^+2j^+3k^ about the point 2i^- j^+ k^=
HARD
A uniform metre ruler of mass 100 g is balanced on a fulcrum at mark 40 cm by suspending an unknown mass m at the mark 20 cm. Find the value of m. To which side the ruler will tilt if the mass m is moved to the mark 10 cm? What is the resultant moment now? How can it be balanced by another mass of 50 g?
MEDIUM

In the given diagram wheel shown has a fixed axle passing through O. The wheel is kept stationary under the action of two force F1 and F2 such that (i) a horizontal force F1 at P (ii) a vertical force F2 at Q. Show the direction of F2 in the diagram. Which is the greater force? Find the ratio between the forces.
(Given : PO=2.5 cm, QO'=1.5 cm and OO'=2.0 cm)

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