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A mass "m = 2 kg" is connected to a spring with spring constant "k= 5 N/m " on a frictionless table oscillation only in 1-D (x direction) . The equation of motion for the mass is given by the equation m (d^2 x(t)/ dt^2) = -kx(t) . The initial conditions are at t = 0 , x = 3 cm ; and at t=0 dy/dt = 0.
Find the position as a function of time x(t) and then calculate the position of the mass at time t = 5 sec from start
You do some quick measurements and find that the area of the lagoon behind the dam would be about 5m wide by 20m long, and the lagoon would be about 3m deep at high tide, and 1m deep at low tide.
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The total charge that has accumulated on the positive plate of a capacitor varies with time. The charge follows q=At^2 for the first 4s. a) Find the value of current at t=2,6,9,12,16 s. b) Sketch the current i(t) as a function of time
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Two coupled coils have self-inductances L1 = 50 mH and L2 = 200 mH, and a coefficient of coupling k = 0.5. If coil 2 has 1000 turns, and I1 = 5Sin (400t) (i.e. the phasor current is 5? -90° A). Find the voltage at coil 2 and the flux through coil ..
Determine the standing wave pattern for the voltage in the line. Express the result in real insantaneous form and simplify
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What is the time response
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There are two four bit messages, 1010 and 1110. The first one is appended with an odd parity bit, the second one with an even parity bit. What are the values of the parity bits for the first and second messages respectively.
Show that the power in a three-phase, three-wire system with balanced loads is constant at every instant. Deduce an expression for the power in terms of the line voltage, line current, and the power-factor.
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