AP EAMCET201823 Apr 2018Morning ShiftPhysicsLaws of MotionActual
As shown in the figure, two particle each of mass m tied at the ends of a light string of length 2 a are kept on a frictionless horizontal surface. When the mid-point (P) of the string is pulled vertically upwards with a small but constant force F , the particles move towards each other on the surface. Magnitude of acceleration of each particle, when the separation between them becomes 2 x is
Options
- AF 2 m a a^2-x^2
- BF 2 m x a^2-x^2
- CF 2 m x a
- DF 2 m a^2-x^2 x
Correct answer
B. F 2 m x a^2-x^2
Step-by-step solution
Given length =a Equating the vertical components of force, 2 = F m a^ or array r a^ = F 2 m = F 2 m ( a^2-x^2 x ) = F x 2 m a^2-x^2 ( = perpendicular base = a^2-x^2 x ) array