Determine the period of the motion for the spring-mass system governed by the differential equation d'y 55 cos 21. + y dt2 16
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Q: A mass-spring system oscillates with an am- plitude of 2.5 cm. The spring constant is 227 N/m and…
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A: mass of an object (m) = 300 g = 0.3 kg Position of the object as a function of time is given by : x…
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- 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 man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 27.0 s. (a) How tall is the tower? m (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? sA mass m = 2.8 kg is at the end of a horizontal spring of spring constant k = 490 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A = 8.5 cm from equilibrium, and released from rest. a) Calculate the period T of the oscillations in seconds. b)Write an equation for the maximum speed vmax of the block. c)Write an equation for the maximum acceleration amax of the block.
- Some people think a pendulum with a period of 1.00 s can be driven with "mental energy" or psycho kinetically, because its period is the same as an average heartbeat. True or not, what is the length (in cm) of such a pendulum? cm3. A 0.26 kg mass is attached to a light spring with a force constant of 25.9 N/m and set into oscillation on a horizontal frictionless surface. If the spring is stretched 5.0 cm and released from rest, determine the maximum speed of the oscillating mass. Ans:0.499A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 13.0 s. (a) How tall is the tower? m(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? s