Concepts Of Physics MCQ Edition [Volume 1]PhysicsWork and Energy
The figure shows a smooth track which consists of a straight inclined part of length l joining smoothly with the circular part. A particle of mass m is projected up the incline from its bottom. (a) Find the minimum projection-speed v₀ for which the particle reaches the top of the track. (b) Assuming that the projection-speed is 2v₀ and that the block does not lose contact with the track before reaching its top, find
Options
- A(a) 2g[R(1 - ) + l ] (b) 6mg (1 - + l R ) (c) The radius through the particle makes an angle ⁻¹(2/3) with the
- B(a) 2g[R(1 - ) + l ] (b) 3mg (1 - + l R ) (c) The radius through the particle makes an angle ⁻¹(1/3) with the
- C(a) g[R(1 - ) + l ] (b) 6mg (1 - + l R ) (c) The radius through the particle makes an angle ⁻¹(1/2) with the v
- D(a) 2g[R(1 + ) + l ] (b) 4mg (1 + + l R ) (c) The radius through the particle makes an angle ⁻¹(2/3) with the
Correct answer
A. (a) 2g[R(1 - ) + l ] (b) 6mg (1 - + l R ) (c) The radius through the particle makes an angle ⁻¹(2/3) with the
Step-by-step solution
(a) 2g[R(1 - ) + l ] (b) 6mg (1 - + l R ) (c) The radius through the particle makes an angle ⁻¹(2/3) with the vertical.