Q7.18     A solid sphere rolls down two different inclined planes of the same heights but
              different angles of inclination.

              (b) Will it take longer to roll down one plane than the other?

             

Answers (1)

Let us assume the angle of inclination to be \Theta_1    and  \Theta_2.                        \left ( \Theta_2\ > \Theta_1 \right )

And the acceleration of the sphere will be   g \sin \Theta_1    and    g \sin \Theta_2   respectively.

 

    Thus                             a_2 > a_1                                                            (since  \sin \Theta _2 > \sin \Theta _1)

Since their acceleration are different so the time taken to roll down the inclined plane will be different in both the cases.

 

 

 

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