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A bike of length having its centre of mass at the middle is to turn with constant speed v [here v is the speed of centre of mass of the bike]. To turn, the front wheel is rotated by an angle 0. The coefficient of friction between the tyres and the road is μ. Assuming the bike to be vertical and it does not skid, answer the following questions.
The radius of curvature of the centre of mass of the bike is
The friction force acting on the bike
A block of mass M, at rest on a frictionless surface, contains a curved channel. The channel is designed so that when a horizontal jet of fluid is aimed at it, the fluid is redirected 90 and shoots straight up and out of the top of the block. The flow of the jet is Q kg/s and has a velocity vm/s. Assuming no gravity and ignoring any viscous effects. [Density of fluid is p]
pQt
(A) Speed of the block as a function of time is v1 = v|1−e_M
=1
(B) Speed of the block as a function of time is v1 = v|
PQt pQt + M
(C) Power delivered by the fluid to the block at t = 0) is zero (D) Power delivered by the fluid to the block at t = 0 is pQv
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Негізгі бет JEE 2025 | Mechanics Problems From AITS
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