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Physics

Mechanics

Easy

Question

The three similar torque (t) are acting at an angle of 120º with each other. The resultant torque will be-

zero

The correct answer is: zero

Three similar torque are acting at an angle of 120° with each other. Now , we know when two vectors of same magnitude and the angle between them is 120 degree , they sum up and give a vector of same magnitude and the directing is in between the two vectors i.e 60 degree form each vector . So, when this resultant vector is added to the third vector of same magnitude but in opposite direction . The resultant sum is zero. Hence , this is the required solution .

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A force of $left parenthesis 2 i with hat on top minus 4 j with hat on top plus 2 k with hat on top right parenthesis$ Newton acts at a point $left parenthesis 3 i with hat on top plus 2 j with hat on top minus 4 k with hat on top right parenthesis$ metre from the origin. The magnitude of torque is -

PhysicsMechanics

A disc is rotating with an angular velocity $omega$ ₀. A constant retarding torque is applied on it to stop the disc. The angular velocity becomes ( $omega$ ₀/2) after n rotations. How many more rotations will it make before coming to rest?

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PhysicsMechanics

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PhysicsMechanics

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An equilateral triangle ABC has its centre at O as shown in figure. Three forces 10 N, 5N and F are acting along the sides AB, BC and AC. Magnitude of F so that the net torque about ‘O’ is zero is

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PhysicsMechanics

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PhysicsMechanics

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PhysicsMechanics

$A space h o o p space r o l l s space o n space a space h o r i z o n t a l space g r o u n d space w i t h o u t space s l i p p i n g space w i t h space l i n e a r space s p e e d space v. space S p e e d space o f space a space p a r t i c l e space P space o n space t h e space c i r c u m f e r e n c e space o f space t h e space h o o p space a t space a n g l e space theta space i s colon$

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PhysicsMechanics

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$text A moving particle of mass end text m text collides head-on with a particle of mass end text 2 m text which is end text table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row blank row cell text initially at rest. Fraction of kinetic energy retained by end text m comma text after the collision end text end cell end table$

PhysicsMechanics

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