A beam is supported at the two ends and is uniformly loaded. The bending moment `M` at a distance `x` from one end is given by `M=(W L)/2x-W/2x^2` . Find the point at which `M` is maximum.

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by M=(W x)/3-W/3(x^3)/(L^2) . Find the point at which M is maximum.

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by M=(W L)/2x-W/2x^2 M=(W x)/3-W/3(x^3)/(L^2) Find the point at which M is maximum in each case.

A beam is supported at the two ends and is uniformly loaded. The bending moment M at a distance x from one end is given by (i) M=(W L)/2x-W/2x^2 (ii) M=(W x)/3-W/3(x^3)/(L^2) Find the point at which M is maximum in each case.

The density of a thin rod of length l varies with the distance x from one end as rho=rho_0(x^2)/(l^2) . Find the position of centre of mass of rod.

The electric foield at a point A on the perpendicular bisector of a uniformly charged wire of length l=3m and total charge q = 5 nC is x V/m. The distance of A from the centre of the wire is b = 2m. Find the value of x.

A beam of weight W supports a block of weight W . The length of the beam is L . and weight is at a distance L/4 from the left end of the beam. The beam rests on two rigid supports at its ends. Find the reactions of the supports.

Two uniform solid of masses m_(1) and m_(2) and radii r_(1) and r_(2) respectively, are connected at the ends of a uniform rod of length l and mass m . Find the moment of inertia of the system about an axis perpendicular to the rod and passing through a point at a distance of a from the centre of mass of the rod as shown in figure.

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to tke rod.

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to the rod.

A uniform horizontal beam of length L and mass M is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle theta with the horizontal . If a man of mass 'm' stands at a distance l from the wall , find the tension in the cable in equilibrium.