In terms of masses `m_(1),m_(2)` and g, find the acceleration of both the blocks shown in Fig. Neglect all friction and masses of the pulley.

Three blocks of masses m_(1), m_(2) and M are arranged as shown in figure. All the surfaces are fricationless and string is inextensible. Pulleys are light. A constant force F is applied on block of mass m_(1) . Pulleys and string are light. Part of the string connecting both pulleys is vertical and part of the strings connecting pulleys with masses m_(1) and m_(2) are horizontal. {:((P),"Accleration of mass " m_(1),(1) F/(m_(1))),((Q),"Acceleration of mass" m_(2),(2) F/(m_(1)+m_(2))),((R),"Acceleration of mass M",(3) "zero"),((S), "Tension in the string",(4) (m_(2)F)/(m_(1)+m_(2))):}

Three blocks of masses m_(1), m_(2) and M are arranged as shown in figure. All the surfaces are fricationless and string is inextensible. Pulleys are light. A constant force F is applied on block of mass m_(1) . Pulleys and string are light. Part of the string connecting both pulleys is vertical and part of the strings connecting pulleys with masses m_(1) and m_(2) are horizontal. {:((P),"Accleration of mass " m_(1),(1) F/(m_(1))),((Q),"Acceleration of mass" m_(2),(2) F/(m_(1)+m_(2))),((R),"Acceleration of mass M",(3) "zero"),((S), "Tension in the string",(4) (m_(2)F)/(m_(1)+m_(2))):}

Three blocks of masses m_1, m_2 and m_3 are connected as shown in the figure. All the surfaces are frictionless and the string and the pulleys are light. Find the acceleration of m_1

Three blocks of masses m_1, m_2 and m_3 are connected as shown in the figure. All the surfaces are frictionless and the string and the pulleys are light. Find the acceleration of m_1

Three blocks of masses m_1, m_2 and m_3 are connected as shown in the figure. All the surfaces are frictionless and the string and the pulleys are light. Find the acceleration of m_1

Two block of masses m_(1) and m_(2) are in equilibrium. The block m_(2) hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut.

Two block of masses m_(1) and m_(2) are in equilibrium. The block m_(2) hangs from a fixed smooth pulley by an inextensible string that is fitted with a light spring of stiffness k as shown in fig. Neglecting friction and mass of the string, find the acceleration of the bodies just after the string S is cut.

In the arrangement shown in Figure, m_A=2kg and m_B=1kg . String is light and inextensible. Find the acceleration of centre of mass of both the blocks. Neglect friction everywhere.