CBSE Class 11-science Answered
find magnitude and direction of the force acting on the particle mass m during its motion in the plane xy according to the law x =asin wt , where a,b ,w are constant
Asked by samyakagarwal7may | 08 Oct, 2018, 12:40: AM
Expert Answer
Force = mass × acceleration
we have x = a sin(ωt)
where x is displacement in x-direction, a is amplitude of oscillatory motion, ω is angular speed.
velocity = dx/dt = aω cos(ωt)
acceleration = d2x/dt2 = -aω2 sin(ωt)
force = m × d2x/dt2 = -m×a×ω2 sin(ωt) ......................(1)
force is oscillatory and its magnitude is given by eqn.(1). Direction of force is along x-axis (linear motion)
Answered by Thiyagarajan K | 08 Oct, 2018, 01:55: AM
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