Q5: A body is moving with simple harmonic motion and has an amplitude of 4.5 m and period of complete oscillation as 3.5 s. find the time required by the body in passing between two points which are at a distance 3.5 m and 1.5 m from the centre and are on the same side.
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- I need help with this question You 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=0t=0 it moves with a speed of 0.59 m/s through the equilibrium in the negative x-direction and continues oscillating with amplitude 24 cm. (a) Draw labeled position-time and velocity-time graphs for the first two periods of oscillation. (b) Determine the length of the string. Solve for the length of the string. Start with general equations and explain what you are doing and why you did what you did.A mass on a spring oscillates with an angular frequency w, while on the surface of the Earth. This system is then placed on the Moon, which has a surface gravitational acceleration 6 times less than Earth. As a result, the angular frequency of oscillation is a) wo/6 b) wo/V6 c) Wo d) V6 - wo e) 6 · wo A mass on a spring oscillates with simple harmonic motion. In terms of the amplitude A, what is the compression x of the spring when the kinetic energy is 3 times larger than the potential energy? a) A/9 b) A/3A tall building is swaying back and forth on a gusty day. The wind picks up and doubles the amplitude of the oscillation.By what factor does the maximum speed of the top of the building increase?By what factor does the maximum acceleration of the top of the building increase?
- The displacement of an oscillating object as a function of time is shown in the figure. What are the frequency, amplitude, angular frequency, and period?The suspension system of a 2100 kg automobile "sags" 7.0 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 45% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 525 kg. (a) Number (b) Number 73500 Units N/m Units kg/s 4An object is attached to a coiled spring. The object begins at its rest position at t = 0 seconds. It is then propelled downward. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 7 inches and the period is 5 seconds The equation for the distance d of the object from its resting position is
- a) Use energy conservation to find the amplitude of the motion. b) Use energy conservation to find the maximum speed of the glider. c) What is the angular frequency of the oscillations? (express in rad/s)6. A body is oscillating with simple harmonic motion, with an angular frequency of g rad/s. At time t = 6s, the position of the body is x = 0.40m, and its velocity is v= -0.25m/s. (a) Find the amplitude of the motion. (b) Determine the phase of the motion, (c) What is the position of the body at t = 10.0s?If you double mass doesthe angular frequency of oscillation increase, decrease, or stays the same? What about if you double the distance that the mass is stretched from equilibrium. Does the angular frequency increase, decrease, or stays the same. Please answer all parts of the question.
- (hrw8c15p89) A vertical spring stretches 7.4 cm when a 2.0 kg block is hung from its end. Calculate the spring constant. Submit Answer Tries 0/5 This block is then displaced an additional 5.5 cm downward and released from rest. Find the period. Submit Answer Tries 0/5 Find the frequency. Submit Answer Tries 0/5 Find the amplitude ( cm). Submit Answer Tries 0/5 Find the maximum speed of the resulting SHM ( cm/s). Submit Answer Tries 0/5A boy of mass 49.8 kg standing on the end of a diving board depresses it vertically downward a distance of 15.7 cm. By pushing down on the board with a force a little greater than his weight, the boy can depress the end of the board a bit farther. The boy and the board then oscillate up and down. Estimate the period of oscillation, assuming that the force the board exerts is approximately like that of a compressed spring, in other words, that it obeys Hooke's law.A simple pendulum comprised of a bob of mass m = 172 g and a lightweight string of length 76.0 cm is released from rest from an initial angle of 28.0° from the vertical. (a) Using the approach of simple harmonic motion, what is the maximum speed of the pendulum bob? m/s(b) Using the approach of simple harmonic motion, what is the maximum angular acceleration of the bob? rad/s2(c) How does the speed found in part (a) compare with that found by using a conservation of energy approach? (Assume that the values are nearly the same if within 10% of each other.) The speed is very different from that from part (a). The speed is nearly the same as that from part (a).