A particle moves along the X-axis according to the law x=at 2 -bt 3 ,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F 0 .Find the value of force F x at points of turn and at moment when particle again turn up at point x=0.

Question

Khimraj · Answer

Let mass of particle is m. x = at 2 – bt 3 particle will be at x= 0 at time 0 =t 2 (a-bt) t = 0, a/b sec velocity of paerticle v x = dv/dx = 2at -3bt 2 particle will turn when velocity of particle will be zero at a point another then starting point 0 = t(2a-3bt) t = 2a/3b accelaration of particle a x = dv x /dt = 2a – 6bt F x when particle turn = m*(a x at t = 2a/3b) = m*(2a – 4a) = –2ma F x when particle again turn up at initial point = m*(a x at t = 2a/3b) = m*(2a – 6a) = -4ma Hope it clears.

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A particle moves along the X-axis according to the law x=at 2 -bt 3 ,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F 0 .Find the value of force F x at points of turn and at moment when particle again turn up at point x=0.

A particle moves along the X-axis according to the law x=at²-bt³,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F₀.Find the value of force F_x at points of turn and at moment when particle again turn up at point x=0.

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A particle moves along the X-axis according to the law x=at 2 -bt 3 ,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F 0 .Find the value of force F x at points of turn and at moment when particle again turn up at point x=0.

A particle moves along the X-axis according to the law x=at2-bt3,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F0.Find the value of force Fx at points of turn and at moment when particle again turn up at point x=0.

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A particle moves along the X-axis according to the law x=at²-bt³,where a and b are positive constants.At moment t=0,force acting on the particle is equal to F₀.Find the value of force F_x at points of turn and at moment when particle again turn up at point x=0.