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  • A sphere of radius is in contact with a wedge as shown. The point of contact of the sph

A sphere of radius 10 \mathrm{~cm} is in contact with a wedge as shown. The point of contact of the sphere is at height of 2 \mathrm{~cm} above the ground. If the wedge is moving leftwards with 20 \mathrm{~cm} / \mathrm{s}, the sphere is moving with

Option: 1

12cm/s


Option: 2

15cm/s


Option: 3

18cm/s


Option: 4

21cm/s


Answers (1)

best_answer

we\ have, \\ \begin{gathered} x^2+y^2=R^2 \\ 2 x \frac{d x}{d t}+2 y \frac{d y}{d t}=0 \\ x V_x+y V_y=0 \\ V_y=V_x\left(\frac{x}{y}\right) \\ V_y=20 \times \frac{3}{4} \\ V_y=15 \mathrm{~m} / \mathrm{s} \text { } \end{gathered}      

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Suraj Bhandari

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