A 2 kg mass is attached to a spring whose spring constant is 26 N/m. The surrounding medium offers a damping force numerically equal to 8 times the instantaneous velocity. The mass is then released from an initial position of 3 m below the equilibrium position with an initial upward velocity of 18 m/s.
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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)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 s8.1
- I know there is no significan t changes in the period but i would love an explanation as to why.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= ______Create a plot of the period vs. mass (exclude the steel bolt). Construct your plot on a computer program such as Microsoft Excel®.
- 5). The motion of a particle is defined by the follouing equations: ex = x-2y and dt dy =5x-y with x(0)=2 and yco) =-1 dt a. Find x(t) and yit) b. If xlt) and yct) are perniodic, find their amplitudes and peiods. Co which apaph represents the moton best? 3. う人 フイ NIETHER A 2.You have a stationary mass attached to a compressed spring that is facing horizontal (on a frictionless plane). You give the mass a quick whack with a hammer, such that the mass has an initial velocity of 6.0 m/s. The amplitude of the oscillation of the mass is 4.0 m. How far is the mass from its starting position after 2.0 s? A) 0.50 m B) 0.56 m C) 0.78 m D) 1.0 m E) 1.1 m F) 2.0 m G) 2.3 m H) 4.0 mHelp me please