A uniform 8 kg door with dimensions `75cm times 200cm` is pivoted at hinges 25cm from the top and from the bottom.The horizontal force exerted by each hinge is 10aN .The value of a is? (Assume centre of mass of gate at its geometrical centre)

Find distance of centre of mass of solid hemisphere of radius 8cm from centre

the door of an almirah is 6 ft high, 1.5 ft wide and weights 8 kg. The door is supported by two hinges situated at a distance of 1 ft from the ends. If the magnitude of the forces exerted by the hinges on the door are equal find this magnitude.

A rod of mass m and length l is hinged at 'its' end and released from rest in position shown. Find the force exerted by the hinge when the rod becomes horizontal

A uniform rod o length one meter is bent at its midpoint to make 90^@ . The distance of centre of mass from the centre of rod is (in cm )

A uniform solid cone of height 40 cm is shown in figure. The distance of centre of mass of the cone from point B (centre of the base) is :

A uniform solid cone of height 40 cm is shown in figure. The distance of centre of mass of the cone from point B (centre of the base) is :

A cube of aluminium of side 6 cm is subjected to a tangential force such that the top face is shears through 0.012cm relative to the bottom face. The tangential force is k xx 10^(10) dyne. What is the value of k? [Shear modulus of the material is eta= 2 xx 10^(11) dyne cm^(-2) ]

In figure the uniform gate weights 300N and is 3m wide & 2m high. It is supported by a hinge at the bottom left corner and a horizontal cable at the top left corner, as shown. Find : (a) the tension in the cable and (b) the force that the hinge exerts on the gate ( magnitude & direction ) .