Two cubes of masses `m_1` and `m_2` be on two frictionless slopes of block A which rests on a horizontal table. The cubes are connected by a string which passes over a pulley as shown in figure. To what horizontal acceleration f should the whole system (that is blocks and cubes) be subjected so that the cubes do not slide down the planes. What is the tension of the string in this situation?

Answer

A, B, C

Explanation

Without Pseudo Force
`F.B.D for mass `m_2`
`N_2 cosbeta=T sin beta+m_2g` …(i)
and `(N_2 sin beta + T cos beta)=m_2f` …(ii)

FBD for mass `m_1`
`N_1cos alpha+T sin alpha = m_1g` ...(iii)
and `(N_1sin alpha-T cos alpha)=m_1f` ...(iv)
On solving the four equations, we get the above results.