1. (a) What is the equation describing the motion of a mass on the end of the spring which is stretched 8.8 cm from equilibrium and the released from rest, and whose period is 0.66 s? (b) What will be its displacement after 1.8 s?
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- 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 17.5 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?(a) A 0.450 kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 1.90 s? in kg(b) What is the length (in cm) of a pendulum that has a period of 0.707 s?in cm(c) An object with a mass m = 51.6 g is attached to a spring with a force constant k = 15.3 N/m and released from rest when the spring is stretched 31.2 cm. If it is oscillating on a horizontal frictionless surface, determine the velocity of the mass when it is halfway to the equilibrium position.in m/sA 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? s
- 1. A 30 g mass is used to make a pendulum for a clock such that the period is to be 1.00 s.(a) How long must the pendulum be?(b)Would the clock keep accurate time on the Moon? If not, would it run fast or slow?A 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.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 14.5 s. (a) How tall is the tower? b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there?
- 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? cmA 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? sA= 3.4cm.Determime the meEChamical Chcrgy 5. When a mass of m = 304 g is attached to a spring and the mass-spring system is set into oscillatory motion, the period of the motion is T = 0.467 s. Determine the amplitude (in meter) of the oscillation, if the total energy of the oscillating system is 0.163 J. Ans: 0.077 %3D 280 N/m and set into
- When an 0.41-kg mass is attached to a vertical spring, it causes the spring to stretch a distance d. If the mass is now displaced slightly from equilibrium, it is found to make 13 oscillations in 2.81-s. Find the stretch distance d. Provide your answer in centimeters.The distance d (in meters) of the bob of a pendulum from its rest position at time t (in seconds) is given by the following formula. 2 (²7) ² - 0.36 3600 What is the maximum displacement of the bob after the first oscillation? d=-9e -0.6t/60 COS A. about 8.91 m B. about 5.18 m C. about 0.13 m D. about 8.39 m