question_answer

A smooth hemisphere of radius R is made to translate in a straight line with a constant acceleration. \[{{a}_{cc}}=g\]. A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. The speed of the particle with respect to the sphere varies as a function of the angle \[\theta \] it slides when\[\theta =45{}^\circ \]. Speed is \[\sqrt{a\,gR}\]m/s. Determine a. (Assume particle does not leave the surface of sphere)

Answer:

2.00