A spool of mass `M` and radius `2R` lies on an inclined plane as shown in the figure. A light thread is wound around the connecting tube of the spool and its free end carries a weight of mass `m`. The value of `m` so that system is in equilibrium is

A system containing masses and pulleys connected on an inclined plane is shown in the figure If the system is in equilibrium then the value of m is

A hollow cylindrical pipe of mass M and radius R has a thin rod of mass m welded inside it, along its length. A light thread is tightly wound on the surface of the pipe. A mass m_(0) is attached to the end of the thread as shown in figure. The system stays in equilibrium when the cylinder is placed such that alpha = 30^(@) The pulley shown in figure is a disc of mass (M)/(2) (a) Find the direction and magnitude of friction force acting on the cylinder. (b) Express mass of the rod ‘m’ in terms of m_(0)

A particle of mass M rests on a rough inclined plane at an angle q to the horizontal ("sin" theta = (4)/(5)) . It is connected to another mass m as shown in fig. The pulley and string are light. The largest value of m for which equilibrium is possible is M. Find the smallest value of m for which equilibrium is possible

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

A spool (consider it as a double disc system joined by a short tube at their centre) is placed on a horizontal surface as shown Fig. A light string wound several times over the short connecting tube leaves it tangentially and passes over a light pulley. A weight of mass m is attached to the end of the string. The radius of the connecting tube is r and mass of the spool is M and radius is R . Find the acceleration of the falling mass m . Neglect the mass of the connecting tube and slipping of the spool.

A spool (consider it as a double disc system joined by a short tube at their centre) is placed on a horizontal surface as shown Fig. A light string wound several times over the short connecting tube leaves it tangentially and passes over a light pulley. A weight of mass m is attached to the end of the string. The radius of the connecting tube is r and mass of the spool is M and radius is R . Find the acceleration of the falling mass m . Neglect the mass of the connecting tube and slipping of the spool.

A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is :-

A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is :-