In the arrangement shown in the figure the mass `M` is very heavy compared to `m (M gt gt m)`. The tension `T` in the string suspende from the ceiling is

In the arrangement shown in the figure if the blocks of masses m and 2m are released from the state of rest tension in the string is ( mu = coefficient of friction string is massless and inextensible pulley is frictionless )

Consider the case of two bodies of masses m_(1) and m_(2) which are connected by light inextensible string passing over a light smooth pulley as shown in the figure. The expression for acceleration of the system and tension of the string are expressed below under different situations: (i) when m_(1) gt m_(2) . In this case a=((m_(1)-m_(2))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g (ii) when m_(2) gt m_(1) . In this case a=((m_(2)-m_(1))/(m_(1)+m_(2)))g and T=((2m_(1)m_(2))/(m_(1)+m_(2)))g (iii) When m_(1)=m_(2)=m . In this case a = 0, T = mg What is the tension in the string?

A mass of 3kg is suspended by a rope of length 2m from the ceiling. A force of 40N in the' horizontal direction is applied at midpoint P of the rope as shown. What is the angle the rope makes with the vertical in equilibrium and the tension in part of string attached to the ceiling ? (Neglect the mass of the rope, g = 10m//s^2 )

In the arrangement shown, the pulleys, string and the spring balance, all the ideal. If m_(1) gt m_(2) , then the reading of the spring balance is

In the arrangement shown, the pulleys, string and the spring balance, all the ideal. If m_(1) gt m_(2) , then the reading of the spring balance is