Initial velocity
There is no vertical component initially. That is and
Acceleration has no horizontal component
Displacement of ball
Using only horizontal components,
Time taken
Using vertical components,
That is, the ball drops by by the time
it reaches the plate.
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2. Two flip-flops are configured to form a simple sychronizer. Each flip- flop has the following characteristics : t- 200ps, To 150 ps, t,- 500 ps and an asynchronous frequency With t, Te -ts, how long must the synchronizer clock period (Te) be for the MTBF to be 1 year? 0.2 Hz T-ts T.e MTBF= Tf. T-(500x 10) 200x10 l yrTX10's Te (150x10 12)(0.2 Hz)...
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3.A spherical ball with a radius R = 120 cm is thrown on a uniform horizontal lane with initial speed of 9.0 m/s. The ball is thrown in such a way that it skids for a distance before it starts pure rolling. Its motion is purely translational when it first hit the lane. The coefficient of kinetic friction between the ball and the lane is 0.22. (a)For how long the ball...
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The definition of resistivity (ρ= E') implies that an electric field exists inside a conductor. In the chapter on electrostatics we saw that there can be no electric field inside a conductor. contradiction? Explain why it is or isn't a contradiction. 5. Isn't that a
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2. For the following system: T-13 1 07 x(t) = -30 0 1 x(t) + Ou(t) 10 00 y(t) = [1 0 0] x(t) a. Determine if the system is completely controllable. b. If the system is completely controllable, design a state feedback regulator of the form u(t) = -Kx(t) to meet the following performance criteria: • %PO = 1.5% . Ts = 0.667 sec
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5. A tiny charged ball of mass m and charge -q is suspended by a massless string from the ceiling in a region of uniform horizontal electric field E. When it is in equilibrium, the string makes an angle 0 with the vertical. What is the magnitude of E in terms of the other variables (and known constants), and its direction AU Physics PHYS 1600/1610 CC-BY-SA Kolarkar
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A system consists of three systems as follows: System (1) has an impulse response of e~3'u(t); System (2) has a step response of te^u(t); System (3) has an output of 2te-2tu(t) to an input of 8(t) Find the output of the overall system xo (t) when the system has an input of Xi(t) = e-tu(t) h2(t) hi(t) ro h3(t)
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2. Two long parallel wires are separated by a distance of 2.25 cm. The force per unit length that each wire exerts on the other is 6.00 x 105 N/m, and the wires repel each other. The current in one wire is 4.25 A. a) What is the current in the second wire? b) Are the two currents in the same...
Discrete Math. Show all steps clearly
Define a relation R on the set of all integers Z as follows: Is R a partial order relation? Prove or give a counterexample.
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If a "75-W" bulb is connected across a 220-V potential difference (as is used in Europe), how much power does it dissipate? Ignore the temperature dependence of the bulb's resistance. 9.
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1. Determine whether R-(0 under multiplication and C-(0 under multiplication are isomorphic : G - G from G to itself is called an automorphism of G. Let 2. An isomorphism : GG be an automorphism and consider H ={g€ G|(g) = g}. Show that H is a subgroup of G