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A force of 35 kg is required to pull a block of wood weighing 140 kg on a rough horizontal surface. The coefficient of friction is
A uniform ladder rests in limiting equilibrium, its lower end on a rough horizontal plane and its upper end against a smooth vertical wall. If $\theta$ is the angle of inclination of the ladder to the vertical wall and µ is the coefficient of friction, then $\tan\theta$ is equal to
A body of 6 kg rests in limiting equilibrium on an inclined plane whose slope is 30°. If the plane is raised to slope of 60°, the force in kg wt along the plane required to support it is
The coefficient of friction between the floor and a box weighing 1 ton if a minimum force of 600 kgf is required to start the box moving is
The C.G. of three particles placed at the vertices of a triangle is at its
In a circular disc of uniform metal sheet of radius 10 cm and centre O, two circular holes of radii 5cm and 2.5cm are punched. The centre G1 and G2 of the holes are on the same diameter of the circular disc. If G is the centre of gravity of the punched disc, then OG =
The centre of mass of a rod of length ‘a’ cm whose density varies as the square of the distance from one end, will be at a distance
AB is a straight line of length 150cm. Two particles of masses 1kg and 3kg are placed at a distance of 15cm form A and 50 cm from B respectively. The distance of the third particle of mass 2kg from A, so that the C.G. of the system is at the middle point of AB is
A square hole is punched out of a circular lamina of diameter 4cm, the diagonal of the square being a radius of the circle. Centroid of the remainder from the centre of the circle is at a distance
The centre of gravity of the surface of a hollow cone lies on the axis and divides it in the ratio

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