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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
- Determine the magnitude of Q if the particle is in equilibrium and if θ =35.5°, P = 325 , a=4, and b=17.arrow_forwardSituation 8. Determine the forces in cables AC and AB needed to hold the 20-kg ball D in equilibrium. Take F = 300N and d = 1 m. В 1.5 m d 2 m Darrow_forwardThree 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_forward
- A 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 and conditions that allow to find the position of the spring as function of a time t, with t in secondsarrow_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 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 and conditions that allow to fink the position of the spring as function of the time t, with t in seconds Determine a diferential equation of the position of the mass at any time “t”, with t in secondsarrow_forward
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- The arm of a starter is held in the "ON" position by means of an eleetromagnet. The torque exerted by the spring is 5 Nm and the effective radius at which the force is exerted is 10 cm. Area of each pole face is 2.5 cm? and each air gap is 0.4 mm. Find the minimum number of ampere-turns (AT) required to keep the arm in the "ON" position.?arrow_forward37. Review. A rod of mass 0.720 kg and radius 6.00 cm AMT rests on two parallel rails (Fig. P29.37) that are d = W 12.0 cm apart and L = 45.0 cm long. The rod carries a B Figure P29.37 Problems 37 and 38.arrow_forwardIf you shake a magnetic compass e and then set it down, you can watch the needle bounce back and forth around its equilibrium position. If this motion is unimpeded by friction, it is an example of simple harmonic motion 2. You may learn more about simple harmonic motion in Phys 1230, but we'll be seeing another example soon in Unit 8. In this case, energy is being transferred continually between magnetic potential energy and kinetic energy, and the energy is conserved if there is no friction. When there is no kinetic energy, the needle is the maximally deflected and its magnetic potential energy is maximum; when the magnetic potential energy is minimum, the needle is moving the fastest. Conservation of energy shows that KE (0) +U (0) = Umax (functions of angle, not multiplication). For your compass, the measured angle between maximum deflection and equilibrium is 58°. What percent of the maximum kinetic energy does the needle have when it is only deflected 29° from equilibrium? Give…arrow_forward
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