College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L. L = 1.6 m Find the period T of the left pendulum for small displacements in s. Find the period T of the right pendulum for small displacements in s.arrow_forwardPr5. A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equi- librium position. (The sphere rolls without slip- ping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR* /5.) R/2arrow_forwardA thin uniform rod (mass = 0.24 kg) swings about an axis that passes through one end of the rod and is perpendicular to the plane of the swing. The rod swings with a period of 1.1 s and an angular amplitude of 9.6°. (a) What is the length of the rod? (a) What is the maximum kinetic energy of the rod as it swings?arrow_forward
- Let the spring have a mass of 191.3 +/- 01g. A 75+/- 01 g mass is attached to the spring. The mass is displaced 1/2 inch and released from rest. After fitting the position data with a sine fit, the position amplitude is found to be 0.0146+/- 0.0003 M. A) calculate the angular frequency of the mass (with uncertainty) b) Determine the amplitude of the velocity of the mass (with uncertainty) c) Find the amplitude of the acceleration (with uncertainty)arrow_forwardWe can model the motion of a bumblebee’s wing as simple harmonic motion. A bee beats its wings 250 times per second, and the wing tip moves at a maximum speed of 2.5 m/s. What is the amplitude of the wing tip’s motion?arrow_forwardFor a simple pendulum, the restoring "force" is the torque due to gravity, mgL. Here m is the mass of the pendulum, g is the acceleration due to gravity, and L is the length of the pendulum. The "inertia" is the rotational inertia, mL². What is the expected period T of a simple pendulum? OA. 2л√/mg/L OB. 2√✓/L/mg OC. 2n√L/g OD. 2n√g/L OE. none of thesearrow_forward
- Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 280 s. What is the magnitude of the acceleration due to gravity on this planet?arrow_forwardThe balance wheel of a watch oscillates with angular amplitude 0.59?0.59π rad and period 0.18 s. Find (a) the maximum angular speed of the wheel, (b) the angular speed of the wheel at displacement 0.59?/20.59π/2 rad, and (c) the magnitude of the angular acceleration at displacement 0.59?/40.59π/4 rad.arrow_forwardA uniformly dense rigid rod with mass of 6 kg and length of 0.6 m rotates around its center of mass. Two springs with equal spring constants of 200 J/m2 are attached to each end of the rod (thus there are a total of four springs attached to the rod). What is the period (in s) of small amplitude oscillations of this system?arrow_forward
- A 0.95 kg mass hanging from a spring oscillates up and down according to the equation z(t) = (6.34 cm) sin ( (8.53 rad/s)t + π/4 ). What is the spring constant of the spring? Give your answer in units of N/m.arrow_forwardA 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters. What is the period, in seconds, of this mass? At what point during the cycle is the mass moving at its maximum speed?arrow_forward
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