Attach the mass to the spring. The spring will start oscillating up and down. (You can stop it by clicking on it when it is in the Resting Position, but you do not have to). Set the mass to 50 g and
measure the distance between the Unstretched Position (blue line) and the Resting Position
(Green Line) by using the ruler. Repeat after increasing the mass in 25 g increments till it reaches
the maximum available value. Fill up this data in Table 4.

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.

A2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kn. what is the frequency of the fundamental mode of vibration of this wire?

Amagnetic field applies forces on: a)static chargesb)moving chargesc)water flow