Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g B. A 100 g At what point will the mass have the largest elastic (spring) potential energy? O A ов ос O All points will have the same amount of elastic potential energy.

a. What is the translational velocity of the bottom tip of the pendulum at the moment that gravitational potential energy is 50% of its maximum? b. What effect would doubling the mass and length of the physical pendulum have on the answer to part (a) of the problem? c. Draw graphs of angular acceleration, tangential translational acceleration, and centripetal acceleration as functions of the instantaneous angle that the pendulum makes with the vertical. In all three graphs show the behavior of the acceleration from release with theta =38.4 degree until the pendulum is vertical and theta =0 degree.

At what time does the oscillator shown below first reach its Equilibrium Position? A в D E F t=0.0 s t=0.30s t=0.45 s t=0.90 s t=1.35 s t=1.80 s +0.10 m---- -0.10 m (Unit = s) %3D ww

Chapter 15, Problem 083 The scale of a spring balance that reads from 0 to 26.2 kg is 14.6 cm long. A package suspended from the balance is found to oscillate vertically with a frequency of 2.25 Hz. (a) What is the spring constant? (b) How much does the package weigh? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

A 2.6kg mass is a attached to a spring with a stiffness of 410N/m. In the picture on the left side, the system is in equilibrium. A student then displaces the spring downward to the position as shown. Neglect friction and drag. What is the period of the harmonic motion? unit What is the frequency of the harmonic motion? unit How many cycles would the system make in 55s? (You may answer with a decimal) 37cm What is the minimum length (L) of the spring as it oscillates? cm How far does the mass travel during one period? cm 44cm 00000

A 240 g air-track glider is attached to a spring. The glider is pushed in 9.60 cm and released. A student with a stopwatch finds that 14.0 oscillations take 12.5 s. You may want to review (Pages 400 - 402) For help with math skills, you may want to review: Solving Radical Equations For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Mass on a spring. Part A What is the spring constant? Express your answer with the appropriate units. 122 Submit μA N m ? Previous Answers Request Answer * Incorrect; Try Again: 5 attempts remaining

A peg on a turntable moves with a constant tangential speed of 0.67 m/s in a circle of radius 0.26m. The peg casts a shadow on a wall. Find the following quantities related to the motion of the shadow.1) Find the period. Express your answer using two significant figures. T=(?)s2) Find the amplitude. A=(?)m3) Find the Max Speed Vmax= (?) m/s4) Find the maximum magnitude of the acceleration. aMax=(?)m/s^2

3 Neha gives an explanation for the Electromotive Brain Transducer 3000 shown below. She says that when you shake the pencil with a period of 6.0 seconds, the long paperclip will swing with a large amplitude, but the shorter paperclip will not swing much at all. What is the technical term for what causes the long paperclip to vibrate with a large amplitude, but not the short paperclip? 1 Period: 3 s Period: 6 s

A block with mass M rests on a frictionless surface and is connected to a horizontal spring with a force constant k. The other end of the spring is attached to a wall (see figure). A second block with mass mm rests on top of the first block. The coefficient of static friction between the blocks is μs. Find the maximum amplitude of oscillation such that the top block will not slip on the bottom block.

Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum. Therefore, the pendulum needs to have a very accurate period for the clock to keep time accurately. As a fine adjustment of the pendulum’s period, many grandfather clocks have an adjustment nut on a bolt at the bottom of the pendulum disk. Screwing this nut inward or outward changes the mass distribution of the pendulum by moving the pendulum disk closer to or farther from the axis of rotation at O. Let mp = 0.7 kg and r = 0.1 m Model the pendulum as a uniform disk of radius r and mass mp at the end of a rod of negligible mass and length L – r, and assume that the oscillations of θ are small. If the pendulum disk is initially at a distance L = 0.85 m from the pin at O, how much would the period of the pendulum change if the adjustment nut with a lead of 0.5 mm was rotated four complete rotations closer to the disk? In addition, how much time would the clock gain or lose in a 24 h…