Question

Two blocks are moving as shown. The ratio of$\frac{v_1}{v_2}$ is

• A. $\frac{\sin {\theta }_1}{\sin {\theta }_2}$
• B. $\frac{\sin {\theta }_2}{\sin {\theta }_1}$
• C. $\frac{\cos {\theta }_2}{\cos {\theta }_1}$
• D. $\frac{\cos {\theta }_1}{\cos {\theta }_2}$

Answer 1

The correct option is C $\frac{\cos {\theta }_2}{\cos {\theta }_1}$


$l_1+l_2=L\sqrt{x_1^2+y^2}+\sqrt{x_2^2+y^2}=L\frac{1}{2}\frac{2x_1{v}_1}{\sqrt{x_1^2+y^2}}+\frac{1}{2}\frac{2x_2{v}_2}{\sqrt{x_2^2+y^2}}=0\frac{v_1}{v_2}=\frac{\frac{x_2}{\sqrt{x_2^2+y^2}}}{\frac{x_1}{\sqrt{x_1^2+y^2}}}=\frac{cos{\theta }_2}{cos{\theta }_1}$