A block of mass `m_1` of 3 kg, is lying on a frictionless plane inclined at `30^@` with the horizontal. It is connected to a mass`m_2` of 4 kg, with the help of a string passing over a pulley as shown in figure. The acceleration of each block will be

Options

A. 2.55`ms^(-2)`
B. 3.55`ms^(-2)`
C. 4.55`ms^(-2)`
D. 5.55`ms^(-2)`

Answer

B

Explanation

At equilibrium, `m_2g -T = m_2a`
T - `m_1g sin theta = m_1a`
`m_2g - m_1g sin30^(@) = (m_1 + m_2)a`
`Rarr a = 25/7 = 3.55ms^(-2)`