A cardboard box has four forces acting upon it, as shown in the diagram below. What is the magnitude of the unknown force, Funknownacting on the box if the box is accelerating at 2.0 m/s 2 to the right?

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.

Why is it important always to use horizontal bars in unit fractions when performing unit conversions?

Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion?