Length of each arm is 'l' find `vec(E)` at O

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O.Find (i) vec(AB)+vec(BC)+vec(CA)=? (ii) vec(OA)+vec(OB)+vec(OC)=? (iii) If |vec(AB)+vec(BC)+vec(AC)|= na then n = ? (iv) If vec(AB) +vec(AC) =n vec(AO) then n = ?

As shown in diagram there are five identical rods. Length of each rod is l and mass m. Find out distance of C.O.M. of system From (C)

In a second-order lever, if the length of the load arm is 5 cm, the length of its effort arm cannot be _______.

A solid cylinder of mass m length L and radius R is suspended by means of two ropes of length l each as shown. Find the time period of small angular oscillations of the cylinder about its axis AA'

Torque (vec tau) acting on a rigid body is defined as vec tau = vec A xx vec L , where vec A is a constant vector and vec L is angular momentum of the body. The magnitude of the angular momentum of the body remains same. vec tau is perpendicular to vec L and hence torque does not deliver any power to the body.

V=x^(2)+y . Find vec(E) .

A current carrying wire is bent in the L shapes as shown in figure. The length of both arms extend to infinity. Then, the magnetic field at O is-

Length of a horizontal arm of U-tube is L and ends of both the vertical arms are open to atompsheric pressure P_(0) , A liquid of density rho is poured in the tube such that liquid just fills the horizontal part of the tube as shown in figure . Now one end of the opened ends is sealed and the tube is then rotated about a vertical axis passing through the other vertical arm with angular speed omega_(0) . if length of each vertical arm is a and in the sealed end liquid rises to a height y, find pressure in the sealed tube during rotation.

The length of the effort arm is greater than that of the load arm in a second-order lever.