A moving perticle of mass `m` is acted upon by five forces `overset(vec)(F_(1)),overset(vec)(F_(2)),overset(vec)(F_(3)),overset(vec)(F_(4))` and `overset(vec)(F_(5))`. Forces `overset(vec)(F_(2))` and `overset(vec)(F_(3))` are conservative and their potential energy funcations are `U` and `W` respectively. Speed of the particle changes from `V_(a)` to `V_(b)` when it moves from position `a` to `b`. Choose the correct option :

A moving particle of mass m is acted upon by five forces vec(F)_(1),vec(F)_(2),vec_(F)_(3),vec(F)_(4) and vec(F)_(5 . Forces vec(F)_(2) and vec(F)_(3) are conservative and their potential energy functions are U and W respectively. Speed of the particle changes from V_(a) to V_b when it moves from position a to b. Which of the following statement is/are true – (a) Sum of work done by vec(F)_(1),vec(F)_(4) and vec(F)_(5)=U_(b)-U_(a)+W_(b)-W_(a) (b) Sum of work done by vec(F)_(1),vec(F)_(4) and vec(F)_(5)=U_(b)-U_(a)+W_(b)-W_(a)+1/2m(V_(a)^(2)-V_(a)^(2)) (c) Sum of work done by all five forces =1/2m(V_(b)^(2)-V_(a)^(2)) (d) Sum of work done by vec(F)_(2) and vec(F)_(3)=(U_(b)+W_(b))-(U_(a)+W_(a))

Two forces vec(F_(1)) and vec(F_(2)) are acting at right angles to each other , find their resultant ?

When force vec(F_(1)), vec(F_(2)),vec(F_(3))"…..."vec(F_(n)) act on a particle , the particle remains in equilibrium . If vec( F_(1)) is now removed then acceleration of the particle is

A body placed in free space, is simultaneously acted upon by three forces vec(F_(1)),vec(F_(2)) " and " vec(F_(3)) . The body is in equilibrium and the forces vec(F_(1)) " and "vec(F_(2)) are known ot be 36 N due north and 27 N due east respectively. Which of the following best describes the force vec(F_(3)) ?

A body placed in free space, is simultaneously acted upon by three forces vec(F_(1)),vec(F_(2)) " and " vec(F_(3)) . The body is in equilibrium and the forces vec(F_(1)) " and "vec(F_(2)) are known ot be 36 N due north and 27 N due east respectively. Which of the following best describes the force vec(F_(3)) ?

A body placed in free space, is simultaneously acted upon by three forces vec(F_(1)),vec(F_(2)) " and " vec(F_(3)) . The body is in equilibrium and the forces vec(F_(1)) " and "vec(F_(2)) are known ot be 36 N due north and 27 N due east respectively. Which of the following best describes the force vec(F_(3)) ?

If overset(vec)(F) is force vector, overset(vec)(v) is velocity , overset(vec)(a) is acceleration vector and overset(vec)(r) vector is displacement vector w.r.t. mean position than which of the following quantities are always non-negative in a simple harmonic motion along a straight line ?

If overset(vec)(F) is force vector, overset(vec)(v) is velocity , overset(vec)(a) is acceleration vector and overset(vec)(r) vector is displacement vector w.r.t. mean position than which of the following quantities are always non-negative in a simple harmonic motion along a straight line ?

Find the resultant of vec(F_(1)) + vec(F_(2)) - vec(F_(3)) ( sin 37^(@) = (3)/(5) , cos 37^(@) = (4)/(5))