53) A conical pendulum has length 100 cm and angle made by string with the vertical is 10^o. The mass of the bob is 100 g.find
a) the centripetal force acting on the bob.
b) linear speed of the bob

Dear student

Please find below the solution to your asked query.

$$\begin{gathered} Tension in the string will have two components. \\ T \sin \theta = centripetal force \\ T \cos \theta = mg \\ centipetal force = mg \tan \theta = \frac{100}{1000}\times 10\times \tan 10=0.17 N \\ centipetal force = \frac{m{v}^2}{r} \\ where r is the linear speed or velocity \\ \sin \theta = \frac{r}{length of the string} = \frac{r}{1} \\ r = \sin 10 \\ \frac{m{v}^2}{r} = 0.17 \\ {v}^2=0.17\times \frac{1000}{100}\times 0.17=0.289 \\ v=0.53 m/s \end{gathered}$$



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