A certain mass of 1 slug is attached to a spring that stretches it 2 feet and comes to rest in the equilibrium position. Starting at t=0, an external force modeled by f(t)=4sin(2t) is applied to this system. If no damping forces are present, will the system exhibit either phenomenon of beats or resonance? Use -32 ft/s^2 for acceleration due to gravity.
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A certain mass of 1 slug is attached to a spring that stretches it 2 feet and comes to rest in the equilibrium position. Starting at t=0, an external force modeled by f(t)=4sin(2t) is applied to this system. If no damping forces are present, will the system exhibit either phenomenon of beats or resonance? Use -32 ft/s^2 for acceleration due to gravity.
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- 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 remainingYou have a simple pendulum that consists of a small metal ball attached to a long string. You push the ball so that at time t=0 it moves with a speed of 0.62 m/s through the equilibrium in the negative x-direction and continues oscillating with amplitude 16 cm. (a) Draw labeled position-time and velocity-time graphs for the first two periods of oscillation. (b) Determine the length of the string. 1. Draw a sketch of the situation, labeling all of the physical quantities given in the problem. Identify system in the sketch. 2. Draw a force diagram showing the forces exerted on the pendulum at its maximum amplitude and position-time and velocity-time graphs showing two full oscillations of the pendulum's motion.A small insect of mass 0.25 g is caught in a spider's web. The web oscillates predominantly with a frequency of 2.70 Hz. What is the value of the effective spring stiffness constant k (in N/m) for the web? Type your answer correct to within two decimal places. Use a period (full stop) for a decimal place, eg. 500.00 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer. Type your answer.
- The position of an object undergoing simple harmonic motion isgiven by x = A cos1Bt2. Explain the physical significance of theconstants A and B. What is the frequency of this object’s motion?Can you help me with this question please. I appreciate your help!weight .) A weight of 64 pounds (Recall mx" + Bx' + kx stretches a spring 2 feet. A damping device imparts a damping force 0 and m 32 numerically equal to 16 times the instantaneous velocity. The initial position is x (0) = 2 and the initial velocity is x' (0) = –1 . This is the equation of motion for the mass. -4t x = (-2t – 1) e t -4t O x = (-7t – 2) eAt -2t O x = 2e cos(2t) +e t sin(2t) -4t O x = (7t + 2) e
- Question 1 Unanswered A simple harmonic oscillator (no damping) has a spring constant of k = 2 N/m and a mass of 2 kg. It is displaced by +1 m from the equilibrium position, and given an initial velocity of +3 m/s. What will the amplitude of the oscillations be? A A = v5m В A = 3m C A = V10m A = V8m Submit Question 2 .. UnansweredA physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50 cm mark. The period of oscillation is 3.60 s. Find d. I am stumped can you give me a hand?A 0.7-kg mass at the end of a spring oscillates 10 times per second with an amplitude of 0.9 m. Determine its speed (in m/s) when it passes the equilibrium point. (what equation can I use to find the speed of the equalibrium point?)
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