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Physics

Mechanics

Easy

Question

A beam of length $l$ lies on the +x axis with its left end on the origin. A cable pulls the beam in y-direction with a force $straight F equals straight F subscript 0 left parenthesis 1 minus straight x over ell right parenthesis$ .If the axis is fixed at x = 0 then find the torque

$- F_{0} ℓ$
$\frac{F_{0} ℓ}{2}$
$- \frac{F_{0} ℓ}{2}$
None of these

The correct answer is: $fraction numerator straight F subscript 0 ell over denominator 2 end fraction$

$text Torque end text tau equals integral straight d tau equals integral subscript 0 superscript t Fx equals fraction numerator straight F subscript 0 ell over denominator 2 end fraction$

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

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

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PhysicsMechanics

$text A railway truck of mass end text 10 to the power of 4 Kg text travelling at end text 1 ms to the power of negative 1 end exponent text collides with another of double its end text text mass moving in the opposite direction with velocity of end text 0.2 ms to the power of negative 1 end exponent text . If the trucks couple end text text automatically on collision, their common velocity in end text ms to the power of negative 1 end exponent text . end text$

$text A railway truck of mass end text 10 to the power of 4 Kg text travelling at end text 1 ms to the power of negative 1 end exponent text collides with another of double its end text text mass moving in the opposite direction with velocity of end text 0.2 ms to the power of negative 1 end exponent text . If the trucks couple end text text automatically on collision, their common velocity in end text ms to the power of negative 1 end exponent text . end text$

PhysicsMechanics

$text A moving body with a mass m end text subscript 1 text strikes a body of mass end text m subscript 2 text which is stationary. end text text Assuming perfectly elastic impact, the ratio end text m subscript 1 divided by m subscript 2 text so as to decrease the velocity of end text text first body end text 1.5 text times is end text$

$text A moving body with a mass m end text subscript 1 text strikes a body of mass end text m subscript 2 text which is stationary. end text text Assuming perfectly elastic impact, the ratio end text m subscript 1 divided by m subscript 2 text so as to decrease the velocity of end text text first body end text 1.5 text times is end text$

PhysicsMechanics

parallel

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