Question

Two particles 1 and 2 are allowed to descend on the two frictionless chord OA and OB of a vertical circle, at the same instant from point O. The ratio of the velocities of the particles 1 and 2 respectively, when they reach on the circumference will be ( OB is the diameter)

• A. sinα
• B. tanα
• C. cosα
• D. None of these

Answer 1

Answer: (C)

cosα

Answer 2

OA = d cosα, a_OA = g cosα

⇒ $v_{A}^{2}$ = 2gcosα.d cosα

$v_{B}^{2}$ = 2gd

$\frac{v_{A}}{v_{B}}$ = cosα,

Hence, (3) is correct