The two springs, each of stiffness k = 1.07 kN/m, are of equal length and undeformed when θ = 0. If the mechanism is released from rest in the position θ = 27°, determine its angular velocity when θ = 0. The mass m of each sphere is 3.6 kg. Treat the spheres as particles and neglect the masses of the light rods and springs.

Will you chech and finish these for me, because i am stumped with them.

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.

You are doing a science experiment with a fahrenheit thermometer. your data must be in degrees celsius. if you measure a temperature of 125°f, what is this temperature in degrees celsius