Physics-
General
Easy

Question

Average torque on a projectile of mass m, initial speed u and angles of projection theta, between initial and final position P and Q as shown in figure about the point of projection is

  1. m u to the power of 2 end exponent sin invisible function application theta    
  2. m u to the power of 2 end exponent cos invisible function application theta    
  3. fraction numerator 1 over denominator 2 end fraction blank m u to the power of 2 end exponent sin invisible function application 2 theta    
  4. fraction numerator 1 over denominator 2 end fraction m u to the power of 2 end exponent cos invisible function application 2 theta    

The correct answer is: fraction numerator 1 over denominator 2 end fraction blank m u to the power of 2 end exponent sin invisible function application 2 theta


    Time of flight. T equals fraction numerator 2 u sin invisible function application theta over denominator g end fraction
    Horizontal range, R equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction
    Change in angular momentum,
    open vertical bar d stack L with rightwards arrow on top close vertical bar equals open vertical bar stack L with rightwards arrow on top subscript f end subscript minus stack L with rightwards arrow on top subscript i end subscript close vertical bar about point of projection
    equals left parenthesis m u sin invisible function application theta right parenthesis cross times fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction
    equals fraction numerator m u to the power of 3 end exponent sin invisible function application theta sin invisible function application 2 theta over denominator g end fraction
    T o r q u e blank open vertical bar stack tau with rightwards arrow on top close vertical bar equals fraction numerator c h a n g e blank i n blank a n g u l a r blank m o m e n t u m over denominator t i m e blank o f blank f l i g h t end fraction
    equals open vertical bar fraction numerator d stack L with rightwards arrow on top over denominator T end fraction close vertical bar

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