A pendulum with a period of 1.5 s starts oscillating with an initial displacement of the mass of about 1 cm. After 50 swings the movement becomes barely visible. The quality factor for this oscillation is about O 50 O 1000 O 0.02 O 3.14 O 1
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- A particle with a mass of 4.2 x 10-20 kg is oscillating with simple harmonic motion with a period of 1.9 × 10-5 s and a maximum speed of 3.1 x 103 m/s. Calculate (b) the maximum displacement of the particle. (b) Number i 1.63 Units mA simple pendulum has a bob that weighs 1.50 kg suspended from the end of a light weight cord. If this bob oscillates at a frequency of 0.750 Hz then what is the length of the cord?What is the length of a pendulum that will swing back and forth with a frequency of 6. 0.800 Hz? O 0.388 m 6. 0.065 m 1 12 ) 6.27 m 14 15 O.004 m
- One procedure used to determine the mass of astronauts in space consists of in making them oscillate in a spring-mass system. For this a 42.5 kg chair is used connected to a spring. When the chair is empty it takes 1.3 s to complete one swing. When the astronaut sits in the chair it takes the system 2.54 s to complete one oscillation. Determine the mass of the astronaut.A pendulum consists of a dense mass at the bottom of a string of negligible mass. It swings with very small oscillations. Which of the following changes would make a significant change in the period of the pendulum? O halving the size of the oscillation O halving the length of the string O doubling the mass All of the these changes would have a significant impact on the period.What is the maximum speed (in m/s) of a 4.9 g particle that oscillates between x = 2.0 mm and x = 8.0 mm in the diagram above.( 43 is incorrect)
- The position of a mass that is oscillating on a spring is given by x = (12.3 cm) cos[(1.26 s¯¹)t]. What is the velocity of the mass when t = 0.845 s? O none of the above O 13.6 cm/s O 7.51 cm/s O 0 cm/s O -13.6 cm/s O -7.51 cm/s4) The position of a mass oscillating on a spring is given by x(t) = (3.9 cm)cos[(2π/0.38s)t]. (a) What is the period of the motion? (b) What is first time the mass is at position x = 0?The motion of a simple harmonic oscillator is described by the following equation and conditions: x(t) = A cos(wt + ø) A = 21 cm, w > 0 x(0) = 15cm v(0) = 2.0 cm/s What is the phase constant o ? 46° 71° -44° 21° O -112°
- A 0.48-kg object connected to a light spring with a force constant of 22.8 N/m oscillates on a frictionless horizontal surface. The spring is compressed 4.0 cm and released from rest. (a) Determine the maximum speed of the object. m/s(b) Determine the speed of the object when the spring is compressed 1.5 cm. m/s(c) Determine the speed of the object as it passes the point 1.5 cm from the equilibrium position. m/s(d) For what value of x does the speed equal one-half the maximum speed? mA mass m hangs from a spring of spring constant k and oscillates in simple harmonic motion about its equilibrium point. In terms of m and k, what would be the length of a pendulum with the same period as this mass-spring system? ○ 2лmg/k mg/2xk mg/2k Ⓒ2mg/k O mg/k1/2 Question 20 A 0.25-kg block oscillates on the end of the spring with a spring constant of200N/m. If the system has an energy of 6.0 J, then the amplitude of the oscillation is: ○ 4.9m O 6.9m O 0.24m O 0.17m 0 0.06m