A rectangular container has a base of dimensions 0.12m × 0.16m. The container is filled with a liquid. The mass of the liquid in the container is 4.8kg.

(a) Calculate

(i) the weight of liquid in the container

(ii) the pressure due to the liquid on the base of the container.

(b) Explain why the total pressure on the base of the container is greater than the value calculated in (a)(ii).

(c) The depth of liquid in the container is 0.32m. Calculate the density of the liquid​

Aparticle of mass m is projected with an initial velocity v0 in a direction making an angle α with the horizontal level ground as shown in the figure. the motion of the particle occurs under a uniform gravitational field g pointing downward. (a) write down the lagrangian of the system by using the cartesian coordinates (x, y). (b) is there any cyclic coordinate(s). if so, interpret it (them) physically. (c) find the euler-lagrange equations. find at least one constant of motion. (d) solve the differential equation in part (c) and obtain x and y coordinates of the projectile as a function of time. (e) construct the hamiltonian of the system, h, and write down the hamilton’s equations (canonical equations) of motion.

In automobile steering wheel is shown what is the ideal mechanical advantage blank? if the ama is eight what is the efficiency of the steering wheel?

Auniform crate c with mass mc is being transported to the left by a forklift with a constant speed v1. what is the magnitude of the angular momentum of the crate about point a, that is, the point of contact between the front tire of the forklift and the ground