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- Questions 6-13 refer to the figure below. The graph represents the position as a function of time for a small 1.20 kg object attached to a light spring that is oscillating on a smooth horizontal surface. n 0.4 Time (s) 0 0.2 6. What is the amplitude of the motion (in cm)? 7. What is the period of the motion (in s)? 8. What is the frequency of the motion (in Hz)? 9. What is the angular frequency of the motion (in rad/s)? 0.6 11. What is the maximum speed of the object (in m/s)? 10. What is the spring constant of the spring (in N/m)? (Be aware of units!) 0.8 12. What is the maximum acceleration of the object (in m/s²)? 13. If instead of attaching the 1.20 kg mass to the spring, we attach a mass of 2.4 kg. What is the new period (in s) of the motion?The pendulum shown below consists of a uniform disk with radius r = 2.35 cm and a mass of 460 grams. The disk is supported in a vertical plane by a pivot located d = 1.75 cm from the center of the disk. Pivot• R. a. What is the frequency of oscillation if the disk is displaced by a small angle and released? Hz b. What is the frequency of oscillation if the mass of the disk is and then displaced by a small angle and released? HzA 37 kg block on a horizontal frictionless surface is attached to a spring. The block is exhibiting SHM. The total energy of the system is 420 J. A.) Determine how much PE it has when its KE is six-sevenths of the PE. PE= w B.) Determine the maximum speed of the block. Vmax=
- A horizontal block spring oscillator of mass 15 kg on a frictionless table and a spring constant k is pulled 1m to the right and released. After 0.1s the block just passes the equilibrium position. A) Find at t=1 seconds: angular frequency, frequency, period, position, velocity, acceleration, and force on block. B) Draw the velocity function of the block over two periods.How do you slove im so confusedA 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.
- 2. (15 pts) As shown in the figure below, a massless rope connects two blocks over a massless pulley. Both inclined surfaces are frictionless, and given a = 30°,ß = 45°,ma 1). The acceleration of the block A and block B; = mB = 1kg. Find: 2). The tension in the rope. B dThe pendulum shown below consists of a uniform disk with radius r = 2.35 cm and a mass of 410 grams. The disk is supported in a vertical plane by a pivot located d = 1.75 cm from the center of the disk. Pivot• d R. a. What is the frequency of oscillation if the disk is displaced by a small angle and released? Hz b. What is the frequency of oscillation if the mass of the disk is and then displaced by a small angle and released? HzProblem 2: A block attached to a spring with unknown spring constant oscillates with a period of 3.3 s. Parts A to D are independent questions, each referring to the initial situation. a) What is the period if the mass is doubled? b) What is the period if the mass is halved? c) What is the period if the amplitude is doubled? d) What is the period if the spring constant is doubled? Answers: a) 4.7 s; b) 2.3 s; c) 3.3 s; d) 2.3 s
- A proud deep-sea fisherman hangs a 65.0-kgkg fish from an ideal spring having negligible mass. The fish stretches the spring 0.180 mm. a)Find the force constant of the spring. express your answer with the appropriate units. b) The fish is now pulled down 5.00 cmcm and released. What is the period of oscillation of the fish? Express your answer with the appropriate units. c) What is the maximum speed it will reach? Express your answer with the appropriate units.The motion of an oscillating weight suspended from a spring was measured by a motion detector. The data were collected, and the approximate maximum displacements from equilibrium (y = 2) are labeled in the figure. The distance y from the motion detector is measured in centimeters, and the time t is measured in seconds. b) Approximate the amplitude and period amplitude: _____ cm period: ______ s c) Find a model for the data y= ______A mass on a string of unknown length oscillates as a pendulum with a period of 5.9 s. Parts A to D are independent questions, each referring to the initial situation. What is the period if the mass is doubled? What is the period if the string length is doubled? What is the period if the string length is halved? What is the period if the amplitude is doubled?