In the previous problem, suppose `m_2=2.0kg and m_3=3.0 kg`. What should be the mass m so that it remains at rest?

In the system shown in fig., all pulleys are mass less and the string is inextensible and light. (a) After the system is released, find the acceleration of mass m_(1) (b) If m_(1) = 1 kg, m_(2) = 2 kg "and" m_(3) = 3 kg then what must be value of mass m_(4) so that it accelerates downwards?

Fig. shown a three particle system with masses m_(1) = 3.0 kg, m_(2) = 4.0kg and m_(3) = 8.0 kg . The scales on the axes are set by x_(s) = 2.0 m and y_(s) = 2.0m . What are the co-ordinates of centre if mass ? If m_(3) is gradually increased, does the centre of mass of the system shift towards or away from that particle or does it remain stationary ?

Locate the centre of mass of the syste,m of three particles of masses m_1 = 1 kg, m_2 = 2 kg and m_3 = 3 kg which are placed at the corners of an equilateral triangle of side 1 m.

Suppose the smaller pulley of the previous problem has its radius 5.0 cm and moment of inertia 0.10 kg-m^2. Find the tension in the part of the string joiningk the pulleys.

Suppose the smaller pulley of the previous problem has its radius 5.0 cm and moment of inertia 0.10 kg-m^2. Find the tension in the part of the string joiningk the pulleys.

Two blocks with masses m_(1) = 0.2 kg and m_(2) = 0.3 kg hang one under other as shown in figure. Find the tensions in the strings (massless) in the following situations : (g = 10 m//s^(2)) the blocks are at rest

Three particles of masses m_1 = 1 kg, m_2 = 2 kg " and " m_2 = 3 kg are placed at the corners of an equilateral triangle of side 1m as shown in Figure. Find the position of center of mass.