3. A student wishes to calculate the acceleration of a stopper tied to the end of a string. She whirls the stopper at constant speed in a horizontal circular path of radius R. She measures and records the value of R. The stopper
completes ten complete revolutions in a time interval an. The student calculates the time period, T, for one
complete revolution. What additional information is needed to calculate the centripetal acceleration of the
stopper
A No additional information
B) The mass of the stopper
C)The tension in the string
D)The frequency of the stopper

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.

The crank oa rotates in the vertical plane with a constant clockwise angular velocity ω0 of 5.6 rad/s. for the position where oa is horizontal, calculate the force under the light roller b of the 10.6-kg slender bar ab.

If the new moon happens on january 15th, what shape will it be on february 6th?