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Review. Alter removing one string while restringing his acoustic guitar, a student is distracted by a video game. His experimentalist roommate notices his inattention and attaches one end of the string, of linear density μ = 3.00 × 10-3 kg/m. to a rigid support. The other end passes over a pulley, a distance ℓ = 64.0 cm from the fixed end, and an object of mass m = 27.2 kg is attached to the hanging end of the string. The roommate places a magnet across the string as shown in Figure P31.35. The magnet does not touch the string, but produces a uniform field of 4.50 mT over a 2.00-cm length of the string and negligible field elsewhere. Strumming the string sets it vibrating vertically at its fundamental (lowest) frequency. The section of the string in the magnetic field moves perpendicular to the field with a uniform amplitude of 1.50 cm. Find (a) the frequency and (b) the amplitude of the emf induced between the ends of the string.
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Chapter 31 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- Three light, inextensible strings are tied to the small, light ring, C. Two ends are attached to the ceiling at points A and B, making angles α = 36.9o and β = 60.0o as shown. The third has a mass m = 2.02 kg hanging from it at point D. The system is in equilibrium. What is the magnitude of the tension in the string AC?arrow_forwardA vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation that allows to find the position of the mass at any time (t), with t in secondsarrow_forwardA section of copper wire with resisivity, p = 1.70 × 10-8 • m, and total resistance, R = 10.0 2, is formed into a N = 70-turn rectangular coil that is a = 11.1-cm wide, and b = 19.7-cm long. = 8.98 A, is The coil, which is rated for a maximum current, IUL placed in the uniform magnetic field, B = 3.00 T, between the poles of a powerful magnet, and rotated at constant angular speed, w = 23.0 rad/s, as shown in the animation. SYMBOLIC INPUT. Use the variables defined above: N, p, a, b, R, w, B, and luarrow_forward
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- 1. An electric light fixture weighting 15 N hangs from a point C, by two strings AC and BC. The string AC is inclined at 60° to the horizontal and BC at 45° to the horizontal. Determine the forces in the strings AC and BC. 60A B 145 15 Narrow_forwardI8arrow_forwardIntegrated Concepts The Tethered Satellite in Figure 23.12 has a mass at 525 kg and is at the end of a 20.0 km long, 2.50 mm diameter cable with the tensile strength of steel. (a) How much does the cable stretch if a 100 N force is exerted to pull the satellite in? (Assume the satellite and shuttle are at the same altitude above the Earth.) (b) What is the effective force constant of the cable? (c) How much energy is stored in it when Stretched by the 100 N force?arrow_forward
- A nylon string has mass 5.50 g and length L = 86.0 cm. The lower end is tied to the floor, and the upper end is tied to a small set of wheels through a slot in a track on which the wheels move (Fig. P14.56). The wheels have a mass that is negligible compared with that of the string, and they roll without friction on the track so that the upper end of the string is essentially free. At equilibrium, the string is vertical and motionless. When it is carrying a small-amplitude wave, you may assume the string is always under uniform tension 1.30 N. (a) Find the speed of transverse waves on the string. (b) The strings vibration possibilities are a set of standing-wave states, each with a node at the fixed bottom end and an anti-node at the free top end. Find the nodeantinode distances for each of the three simplest states. (c) Find the frequency of each of these states. Figure P14.56arrow_forwardA 4 [kg] of mass is hung upon the lower end of a coil spring hanging vertically from a fixed support. The mass comes to rest in its equilibrium position, thereby stretching the spring 0.8 [m]. The weight is then pulled down a certain distance below this equilibrium position and released at t = 0. The medium offers a resistance equal to a(dx/dt), where a > 0 and dx/dt is the instantaneous velocity in [m/s]. (a) Determine the displacement of the weight as a function of the time (in terms of a) (b) Determine the value of a such that the motion is in i) damped oscillatory, ii) critically damped, iii) overdamped.arrow_forwardThe energy stored per uni volume in copper wire which produces longitudinal strain of 0.1% is Y=1.1 x 1011 N/m2arrow_forward
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