Question

Find the acceleration of the three masses A, B and C shown in figure. Friction coefficient between all surfaces is 0.5. Pulleys are smooth. (Given $m_A$ = 1kg, $m_B$ = 1kg, $m_C$ = 2kg.)

• A. $a_1 = \frac{7g}{9}$
• B. $a_2 = \frac{7g}{9}$
• C. $a_3 = \frac{7g}{18}$
• D. $a_2 = \frac{7g}{18}$

Answer 1

N/A

Answer 2

Assume A is stationary due to the string system. Apply Newton's second law to blocks B and C. Use the kinematic constraint $a_B = a_C$ from the string connecting them over a fixed pulley. Calculate normal force and kinetic friction for block B. Solve the system of equations for tension and acceleration. The calculated acceleration is $g/2$. This does not match the provided options.

Answer: The calculated acceleration for blocks B and C is $g/2$. Block A remains stationary. None of the options match this result.