electric flat cart solution 1-300 t

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Solution: The conditions for static equilibrium on ball Q2 is T mg x KQQ T = = θ θ cos sin 2 1 2 and dividing the 1st equation by the second yields x mg KQQ 2 tanθ= 1 2. Solving for the product of the two charges gives 15 2 9 2 2 3 3 3 2 1 2 3.68 10 2(1 )(8.99 2

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AREN 2110 SOLUTIONS FALL 2006 HOMEWORK ASSIGNMENTS 6, 7 and 8 & 5-61 Air is accelerated in a nozzle from 30 m/s to 180 m/s.The mass flow rate, the exit temperature, and the exit area of the nozzle are to be determined. Assumptions 1 This is a steady-flow process sPerfect Steerable Transfer Carte there is no change with time.

The flux through the flat base is: Answer: −1.2 × 104 N⋅m2/C Solution: From Gauss’ law, the total flux is Q/ε 0, where Q = 3.3 × 10−7 C is the total charge. The total flux is 3.7 × 104 N⋅m2/C, which means that the flux through the flat portion must be −1.2 × 104

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Problem 4.31 The circular disk of radius a shown in Fig. 4-7 has uniform charge density ρs across its surface. (a) Obtain an expression for the electric potential V at a point P =(0,0,z) on the z-axis. (b) Use your result to find E and then evaluate it for z = h. Compare

2 Chapter 23 Solutions 23.4 We find the equal-magnitude charges on both spheres: F = ke q1q2 r 2 = ke q2 r 2 so e q =r F k =()1.00 m 1.00 ×104 N 8.99 ×109 N⋅m2/C2 =1.05 ×10−3 C The number of electron transferred is then N xfer =1.05 ×10 −3 C 1.60 ×10−19 C/e −=6.59 ×1015 electrons

of 300 rpm. Knowing that the radius of gyration of the flywheel is 1 m determine the average magnitude of the couple due to kinetic friction in the bearings. SOLUTION Angular velocity: w p p w 0 300 2 60 10 0 = Ê ËÁ ˆ ¯˜ = = rpm rad 2 Moment of inertia: Imk==

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1 ft 1 ft P 4 ft G B 17–43. Determine the acceleration of the 150-lb cabinet and the normal reaction under the legs A and B if . The coefficients of static and kinetic friction between the cabinet and the plane are and , respectively.The cabinet’s center of gravity isG.

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15-40 SOLUTION (15.29) Known: Three spur gears transmit power from a motor shaft to a machine shaft in a given geometric arrangement. The middle gear acts as an idler and is supported by two bearings. Find: (a) Determine the radial load on idler shaft