Q. Two identical ladders are arranged as shown in figure. Mass of each ladder is M and length is L. A load of mass m has been attached at the touching point (O) of the ladders, as shown in figure. The system is in equilibrium. Find the magnitude of static frictional force acting at either point A and B.
Q. Two uniform rods of equal length but of different masses are rigidly combined to form a L− shaped body, which is then pivoted about O as shown in figure. If combination is in equilibrium then ratio M/m will be
Q. A uniform rod of length l and mass m is hung from two strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?
Q. A metal rod of length 50cm having mass 2kg is supported on two edges placed 10cm from each end. A 3kg load is suspended at 20cm from one end. Find the reactions at the edges (take g=10m/s2)
Q. A uniform rod of mass 2kg is hanging from a thread attached at the midpoint (O) of the rod. A block of mass m=6kg hangs at the left end of the rod and a block of mass M hangs at the right end at a distance of 30cm from the mid point (O). If the system is in equilibrium, calculate the mass (M), given that overall length of the rod is 100cm. Take g=10m/s2.
Q. A horizontal uniform rod of mass ′m′ has its left end hinged to the fixed incline plane, while its right end rests on the top of a uniform cylinder of mass ′m′ which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest.
The magnitude of normal reaction exerted by the rod on the cylinder is
Q. A light rod of length l=1 m is hinged at its centre and two masses of m1=5 kg and m2=2 kg are hung from the ends as shown in figure. Find the initial angular acceleration of the rod assuming that it was horizontal in beginning. (Take g=10m/s2)
Q. A block of mass 8 kg is placed on a rough inclined plane and subjected to a force of 30 N directed up the plane as shown in the figure. If the inclination of the plane is 60° and the coefficient of static friction between the block and the plane is 0.4, then total contact force exerted by the block on the plane can be directed along
8 kg द्रव्यमान के एक गुटके को खुरदरे आनत तल पर रखा जाता है तथा इस पर चित्र में दर्शाए अनुसार तल के ऊपर की ओर निर्देशित 30 N का बल आरोपित किया जाता है। यदि तल का आनति कोण 60° है तथा गुटके व तल के मध्य स्थैतिक घर्षण गुणांक 0.4 है, तब गुटके द्वारा तल पर आरोपित कुल सम्पर्क बल किसके अनुदिश निर्देशित हो सकता है?
Q. A uniform metre scale balances horizontally on a knife edge placed at 55cm mark when a mass of 25g is suspended from one end, then mass of the scale is
Q. Two small kids weighing 10kg and 15kg respectively, are trying to balance a seesaw of total length 5.0m, with the fulcrum at the centre. If one of the kids is sitting at one end, where should the other one sit?
Q. A uniform rod of mass 2kg is hanging from a thread attached at the midpoint (O) of the rod. A block of mass m=6kg hangs at the left end of the rod and a block of mass M hangs at the right end at a distance of 30cm from the mid point (O). If the system is in equilibrium, calculate the mass (M), given that overall length of the rod is 100cm. Take g=10m/s2.
A 1kg rod of length 1m is pivoted at its centre and two masses of 5kg and 2kg and are hung from the ends as shown in figure. Find the tension in the supports to the blocks of mass 2kg and 5kg (g=9.8ms2)
Q. A horizontal uniform rod of mass ′m′ has its left end hinged to the fixed incline plane, while its right end rests on the top of a uniform cylinder of mass ′m′ which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest.
The magnitude of normal reaction exerted by the rod on the cylinder is
Q. A ladder AB is supported by a smooth vertical wall and rough horizontal floor as shown. A boy starts moving from A to B slowly. The ladder remains at rest, then pick up the correct statement(s):
Magnitude of normal reaction by wall on ladder at point B will increase.
Magnitude of normal reaction by wall on ladder at point B will decrease.
Magnitude of normal reaction by floor on ladder at point A will remain unchanged.
Magnitude of frictional force by the floor on ladder at point A will increase.
Q. Two uniform rods of equal length but different masses are rigidly joined to form an L - shaped body which is pivoted about point O as shown. If in the shown configuration, the body is in equillibrium, the ratio M/m will be.
Q. A rod of uniform mass is tightly hinged at its centre. Two force of equal magnitude and in same direction are applied on the body at its rear ends. The body will be in?
Q. In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle θ with the horizontal floor. The coefficient of friction between the wall and the ladder is μ and that between the floor and the ladder is μ2. The normal reaction of the wall on the ladder is N1 and that of the floor is N2. If the ladder is about to slip, then
Q. A light rod of length l=1 m is hinged at its centre and two masses of m1=5 kg and m2=2 kg are hung from the ends as shown in figure. Find the initial angular acceleration of the rod assuming that it was horizontal in beginning. (Take g=10m/s2)
Q. A long uniform beam is acted upon by several forces as shown in figure, and it is in complete equilibrium. What will be the value of forces X&Y? Neglect the mass of the beam.
In the system shown in figure blocks A and B have mass m1=2kgandm2=267 kg respectively. Pulley having moment of inertia I = 0.11 kg m2 can rotate without friction about a fixed axis. Inner and outer radii of pulley are a = 10 cm and b = 15 cm respectively. B is hanging with the thread wrapped around the pulley, while A lies on a rough inclined plane.
Coefficient of friction being μ=√310
ColumnIColumnIIP.Tension in the thread connecting block Aw.26NQ.Tension in the thread connecting block Bx.2ms2RaccelerationofAR.Acceleration of Ay.3ms2S.Acceleration of Bz.17N
Q. A horizontal uniform rod of mass ′m′ has its left end hinged to the fixed incline plane, while its right end rests on the top of a uniform cylinder of mass ′m′ which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest.
The ratio of magnitude of frictional force on the cylinder due to the rod and the magnitude of frictional force on the cylinder due to the inclined plane is:
Q. A solid cylinder of mass m is kept in balance on a fixed incline of angle α=37∘ with the help of a thread fastened to its jacket. The cylinder does not slip. What will be the value of force F that is required to keep the cylinder in balance when the thread is held vertically?
Q. A block of mass M=50kg, base b=1m and height h=3m is kept on a rough inclined surface with coefficient of static friction μ=0.8 as shown in figure. The angle of inclination with horizontal is 37∘. Determine whether the block slides down or topples over.
Q. A horizontal uniform rod of mass ′m′ has its left end hinged to the fixed incline plane, while its right end rests on the top of a uniform cylinder of mass ′m′ which in turn is at rest on the fixed inclined plane as shown. The coefficient of friction between the cylinder and rod, and between the cylinder and inclined plane, is sufficient to keep the cylinder at rest.
The ratio of magnitude of frictional force on the cylinder due to the rod and the magnitude of frictional force on the cylinder due to the inclined plane is:
