Concept explainers
Show that angular frequency of a physical pendulum
Trending nowThis is a popular solution!
Chapter 16 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- Which of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.arrow_forwardEach of five pendulums has a bob of mass m suspended from a string of length L. Rank them in order of their frequency for small-amplitude oscillations, greatest to smallest. (a) m = 300 g, L = 1.10 m (b) m = 330 g, L = 1.10 m (c) m = 330 g, L = 1.00 m (d) m = 330 g, L = 1.21 m (e) m = 300 g, L = 1.21 marrow_forwardA physical pendulum composed of a solid sphere with radius R = 0.500 m, is hanged from a ceiling by string of length equal to radius. What are the (a) angular frequency, (b) period, (c) frequency of the system forsmall angles of oscillation? The moment of inertia of the pendulum about its axis of rotation is I = 22/5 mR^2.arrow_forward
- A simple harmonic oscillator consists of a block of mass 1.50 kg attached to a spring of spring constant 490 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.142 m and v = 4.180 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?arrow_forwardA block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set tooscillates on a frictionless horizontal surface. At time t = 0 its position is x0 = 0 and its velocity isv0 = +5 m/s.what is the oscillation amplitude and the phase constant, Qarrow_forwardAn ideal spring has a force constant of 275 N/m, and is found to vibrate with a frequency of 8.75Hz. If a body is attached to the spring (use g = 9.81 m/s^2), determine: a)The period of motion; b)The angular frequency; c) The weight of the body attached to the springarrow_forward
- 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 marrow_forwardA rope of homogeneous material, of length L= 20.0 m and mass M= 2.0 kg is stretched in the horizontal direction under a tension of 35.0 N. One end of the rope is oscillated transversely, with an amplitude of 0.03 cm and frequency of 15.0 oscillations per second. The initial transverse position of this end at t=0 is yi= 0.015 m, considering the y axis oriented upwards. Which function describes the transverse displacement of a point at a distance x from the oscillating end, after being hit by the wave but before the wave reaches the other end, as shown in the figure? Choose the correct alternative (option are in the image):arrow_forwardA driving force of the form F(t)=(0.251 N)sin(2πft) acts on a weakly damped spring oscillator with mass 6.90 kg, spring constant 302 N/m, and damping constant 0.129 kg/s. What frequency ?0 of the driving force will maximize the response of the oscillator?f0 = ? HzFind the amplitude ?0 of the oscillator's steady-state motion when the driving force has this frequency.arrow_forward
- Consider a ball of mass mm attached to a spring of stiffness kk, oscillating with amplitude AA on a frictionless horizontal surface. At what displacement from equilibrium does the ball have half its maximum velocity? A. x = 1/√2* A B. x = 1/4* A C. x =1/2*A D. x =3/4A E. x = √(3/4) * Aarrow_forwardA 2.00-kg object is attached to a spring. The force constant of the spring is k=196 N/m. The object is held a distance 5.00 cm from the equilibrium position and is released at t 0. (a) Find the angular frequency ω, (b) the frequency f, (c) the period T, and (d) write x (in cm) as a function (cosine) of time.arrow_forwardsimple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m.When t = 1.00 s, the position and velocity of the block are x= 0.129 m and v = 3.415 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning