Most Important Selected Qs for JEE AdvancedPhysicsWork, Power and Energy
A bead under the influence of gravity, slides down a frictionless wire whose y coordinate is changing with x co-ordinate as shown in the figure. Assume that at position O the wire is vertical and the bead passes this point with a given speed v ₀ downward. If the shape of the wire is such that the vertical component of velocity remains v ₀ at all time, find (a+b+c) in the shape function of wire given by y= ( agv ₀ x )
Correct answer
8
Step-by-step solution
aligned & v= v₀^2+2 g y & and v =v₀ (as given in question) & = v₀ v₀^2+2 g y & = v₀ 2 g y & d y d x = v₀ 2 g y & y= (3 g v₀ x )^ 2 / 3 2 g & a+b+c=8 aligned