Recent content by griffith

In the diagram, the arrows attached to each block represent the applied force vector at different positions along the motion. In case (1), regardless of whether s is interpreted as the displacement from the initial point or as the distance traveled, the resulting motion is the same because the...

true

that only works if s is the magnitude of displacement. How would one proceed if s is taken to be the total distance traveled along the path, Also, why wasn’t s taken as the modulus of the displacement vector? Is this because, from the analysis of the motion, the body never crosses the initial...

what if s is the total distance traversed by the body?

It's because I misinterpreted the line "s is the distance traversed by the bar from its initial position"

s belongs to the interval [0, pi/a]

velocity equals 0 and the force vector would point to the left(wrt the pic i drew)

my doubt was stupid. that time derivative when simplified gives: 1/2m.(ds/dt)^2 = (F/a).sin(as) -----> ds/dt = +-[(2F/ma).sin(as)]^1/2 since ds/dt > 0 , ds/dt =...

Could you clarify why the final result is only valid over a limited range of α, and what prevents extending it to all α

Sure, a sec

A bar of mass m resting on a smooth horizontal plane starts moving due to the force F of constant magnitude. In the process of its rectilinear motion the angle α between the direction of this force and the horizontal varies as α = as, where a is a constant, and s is the distance traversed by the...

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[Mentor Note: OP's two duplicate thread starts have been merged, and OP has come back and edited the first post to include work] A bar of mass m resting on a smooth horizontal plane starts moving due to the force F of constant magnitude. In the process of its rectilinear motion the angle α...

oh, appreciate it kind sir