Laws of Motion
Consider the situation shown in figure. Both the pulleys and the string are light and all the surfaces are frictionless. Find the tension in the string.
A uniform chain is coiled up on a horizontal plane and one end passes over a small light pulley at a height $$'a'$$ above the plane. Initially, a length $$'b'$$ hangs freely on the other side. If $$b = 2a$$.
Consider the situation shown in figure. Both the pulleys and the string are light and all the surfaces are frictionless. Find the tension in the string.
In the given arrangement, $$n$$ number of equal masses are connected by strings of negligible masses. The tension in the string connected to $$n$$th mass is -
Three solids of mass $$m_{1}$$ , $$m_{2}$$ and $$m_{3}$$ are connected with weight less string in succession and are placed on a frictionless table. If the mass $$m_{3}$$ is dragged with a force $$T$$. The tension in the string between $$m_{2}$$ and $$m_{3}$$ is:-
A man is pulling a rope attached to a block on a smooth horizontal table. The tension in the rope will be the same at all points.
Which of the following expressions correctly represents $$T_{1}$$ and $$T_{2}$$ if the system is given an upward acceleration by a pulling up mass $$A$$?
A uniform fine chain of length $$l$$ is suspended with lower end just touching a horizontal table. The pressure on the table, when a length $$x$$ has reached the table is
A flat car is given ar acceleration $$a_{0} = 2\ m/s^{2}$$ starting from rest. A cable is connected to a crate $$A$$ of weight $$50\ kg$$ as shown. Neglect friction between the floor and the car wheels and also the mass of the pulley. Calculate corresponding tension in the cable if $$\mu = 0.30$$ between the crate and the floor of the car.
Figure shows a block of mass $$m$$ kept on inclined plane with inclination $$\theta$$. The tension in the string is
Three blocks of masses $$m_{1}, m_{2}$$ and $$m_{3}$$ are placed on a horizontal frictionless surface. A force of $$40\ N$$ pulls the system then calculate the value of $$T$$, if $$m_{1} = 10\ kg, m_{2} = 6\ kg, m_{3} = 4\ kg$$.
Two blocks, of weights $$3.6$$ N and $$7.2$$ N, are connected by a massless string and slide down a $$30^\circ$$ inclined plane. The coefficient of kinetic friction between the lighter block and the plane is $$0.10$$, and the coefficient between the heavier block and the plane is $$0.20$$. Assuming that the lighter block leads, find (a) the magnitude of the acceleration of the blocks and (b) the tension in the taut string