a smooth horizantal table is rotating at an angular speed W about its vertical axis .a groove is made on the surface along a radius.a partical is gently placed inside the groove at a distance of a from the center .the speed of the particle with respect to the table at a distance of x from its center
sasank k , 3 Years ago
Grade 12th pass
1 Answers
Priyanshu Gujjar
Last Activity: 3 Years ago
Let v be the velocity of the particle w.r.t the table at the instant the particle is at a distance x.
When the particle is at a distance a from the centre, at that instant its velocity is zero.
Using ar=dxvdv where ar=xw2
∴xw2=dxvdv
OR ∫0Vvdv=w2∫aLxdx
OR 2v2∣∣∣∣∣0V=w2×2x2∣∣∣∣∣aL
OR V2−0=w2(L2−a2)⟹V=wL2−a2
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free