Question

A massless string going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given

• A. $\sqrt{2} \text{Mg}$
• B. $\sqrt{2} \text{mg}$
• C. $g\sqrt{\left(\text{M} + \text{m}\right)^{2} + \left(\text{m}\right)^{2}}$
• D. $g\sqrt{\left(\text{M} + \text{m}\right)^{2} + \left(\text{M}\right)^{2}}$

Answer 1

Answer: (D)

$\text{R} = \sqrt{\left(\text{M}\right)^{2} \left(\text{g}\right)^{2} + \left(\text{m} + \text{M}\right)^{2} \left(\text{g}\right)^{2}} \Rightarrow \text{ R} = \sqrt{\left(\text{M}\right)^{2} + \left(\text{m} + \text{M}\right)^{2}} \text{ g}$