2) Consider a block that makes a simple harmonic movement. It does 33 complete cycles of ocillation every second. Its position varies from 2.6m to -2.6m. a) Calculate the speed of the block as it passes through its equilibrium position (x 0). Give a positive value, in international units. b) Calculate the acceleration of the block when its position is x = 1.5m. Give the answer in international units.
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- A simple harmonic motion of a point mass m can be expressed byx = 0.25sin(4pt +p/6) m ( time t in ses). a)Find the amplitude for the oscillation in m. b)Find the frequency of the oscillation (in Hz). c)Find the maximum speed for the oscillation (in m/s d)Find the maximum acceleration for the oscillation (in m/s2 ) e)Find the initial position of the mass m (in m) f)Find the total energy for the oscillation (in Jules)2. A mass, M, is attached to a massless rod with length, L, to act as a pendulum. The mass is lifted through a 90° angle so that the rod is horizontal, then released. At the bottom of its swing the pendulum has velocity A. v = (gL)² B. v = gL C. v= V2gL D. v = MgL E. v = VM8L4. A mass, m, is suspended from a vertically oriented spring, with constant, k. A downward impulse, J, is delivered to the mass, driving the spring-mass system into oscillatory motion. Express all answers in terms of given quantities and fundamental constants. a. What is the speed of the mass immediately after delivery of the impulse? Answer 4a: b. What is the amplitude of motion? Page 3 I 6 +
- Problem 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 sA mass of 4.6 g is suspended from a massless spring of natural length 90 mm with the spring constant k = 3 Nm and causes the spring to extend by 10 mm. The mass is pulled down a further 5 mm and then released. Assuming g = 9.8 ms2, calculate the period of simple harmonic motion of the mass. Give your answer in Sl units.An undamped 2.10 kg horizontal spring oscillator has a spring constant of 28.9 N/m. While oscillating, it is found to have a speed of 2.86 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = What is the oscillator's total mechanical energy Etot as it passes through a position that is 0.651 of the amplitude away from the equilibrium position? Etot m = J
- This, the length of the pendulum is 1.58 m. Now you start with the pendulum at 20.6 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 34.3 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it? 1.41 m/s 3.71 m/s 1.85 m/s 2.32 m/show to do?5 kilogram object is suspended from a string. The string is 4 meters long. What is the period of the object ting as a pendulum? Express your answer a number of seconds, omitting the unit.
- A 2.36 kg ball is attached to an unknown spring and allowed to oscillate. The figure (Figure 1) shows a graph of the ball's position as a function of time t. Figure x (cm) 3.0 2.0 1.0 -1.0 -2.0 -3.0 1 of 1 A 1.0 0.50 t(s) What is the amplitude? Express your answer in centimeters to one decialm place. A = Submit Part E VE ΑΣΦ k= Answer ? What is the force constant of the spring? Express your answer in newtons per meter to three significant figures. ΨΕ ΑΣΦ cm ? N/mThe block is at rest as shown. What is the peiod of the oscillation if the block is pulled down by 10 cm, in seconds? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.Provide a detailed explanation please.