Solve this answers A point moves in a plane curve so that its tangential acceleration is constant and the - Physics - Motion In A Plane

Question

Solve this answers

A point moves in a plane curve so that its tangential acceleration
is constant and the magnitudes of the tangential velocity and the
normal acceleration are in a constant ratio Show that the intrinsic
equation of the path is of the form S =
AΨ2 + BΨ + C

Vijay Shankar Yadav · Accepted Answer

Dear Student,
 Here we have at=d2Sd2ψ=A'( some constant)-----1here ψ we are taking as t now integrate equation 1 with respect to ψwe get dSdψ=A'ψ+B------2now integrate equation with respect to ψwe get S=A'ψ22+Bψ+Chere we can write A'2=AS=Aψ2+Bψ+C
Regards

Solve this answers A point moves in a plane curve so that its tangential acceleration is constant and the magnitudes of the tangential velocity and the normal acceleration are in a constant ratio. Show that the intrinsic equation of the path is of the form S = AΨ2 + BΨ + C.

Solve this answers

A point moves in a plane curve so that its tangential acceleration is constant and the magnitudes of the tangential velocity and the normal acceleration are in a constant ratio. Show that the intrinsic equation of the path is of the form S = AΨ²+ BΨ + C.