Dr. Chaos uses his watch to hypnotize unsuspecting citizens in attempting to rob them. His watch is a simple pendulum that he sets into simple harmonic motion. The length of the pendulum is 0.120 m, and the mass at the end is 2.75 kg. Use the equations below to model the motion of the watch when it is pulled back to a maximum angle of 3.00° and released. s(t)  =  smax cos(?smpt +

please see attached picture.

Determine the conditions under which mechanical energy is conserved in a pendulum. Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100 g and the length 1 m. If it is hanging on the ceiling of a room, it is made to oscillate. What, if anything, is the mechanical energy of the pendulum conserved? Make the argument grounded in physics.

One end of a string is secured to the ceiling of a classroom, and the other end of the string is attached to a sphere of mass 0.20 kg so that a pendulum is established. The sphere is raised at an angle of 15° above the sphere’s equilibrium position and then released from rest so that the pendulum oscillates, as shown in the figure. Location 1 is shown in the figure. A graph of the pendulum’s horizontal position as a function of time is shown in the graph (the graph is in the attached image). a. Calculate the value of the maximum kinetic energy of the sphere as it oscillates The sphere is raised to a new angle above the sphere’s equilibrium position that is less than the angle described for part (a). The sphere is released from rest so that the pendulum oscillates. b. Explain how the motion of the sphere changes, if at all, based on the appropriate evidence and/or reasoning.

Your grandfather clock's pendulum has a length of 0.9930 m. a. If the clock runs slow and loses 23 s per day, how should you adjust the length of the pendulum? Note: due to the precise nature of this problem you must treat the constant g as unknown (that is, do not assume it is equal to exactly 9.80 m/s2). Express your answer to two significant figures and include the appropriate units. Enter positive value in case of increasing length of the pendulum and negative value in case of decreasing length of the pendulum.

A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k.  b. Calculate the spring constant k, in Newtons per meter.  c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement.  d. Calculate the total mechanical energy E, in joules.

You were just hired to work as a lab tech in the physics lab of your university. Your first task was to set up a simple pendulum that makes 30.0 complete swings in 75.0 s. What should be the length of this pendulum?

TOPIC: Oscillations A horizontal spring has a spring constant of 30.5 N/m. A mass of 300 g is attached to the spring and displaced 6 cm. The mass is then released. Find (a) the total energy of the system (b) the maximum velocity of the system ( c) the potential energy and kinetic energy of the system for x = 3 cm.   Please help me solve this problem with complete and detailed solution. Also, please include an illustration if possible. Thank you tutor!

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Ignoring friction, what will be the angular position of the pendulum at t = 0.35 s? A simple pendulum is 0.44 m long. At t = 0 it is released from rest starting at an angle of 18°. Express your answer in degrees. ΑΣφ ? O0.35 Submit Request Answer Part B Ignoring friction, what will be the angular position of the pendulum at t = 3.45 s? Express your answer in degrees. ? O3.45 %D Submit Request Answer Part C Ignoring friction, what will be the angular position of the pendulum at t = 6.00 s?