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A pendulum is modeled by a mass m, attached to one end of a light rod of lenght l, whose other end is attached to an axis. Write down the equation of motion (Newton's Law) modeling the pendulum. Rewrite the model as a system of two first order equations for the position and velocity of the mass. Find the equilibrium points and sketch them in the phase plane. Determine which equilibrium points are stable, which unstable.
Capacitor 1 with a capacitance of 8.00 µF is connected in series with capacitor 2 of capacitance 2.00 µF, and a potential difference of 100 V is applied across the pair
a tuning fork vibrates at a frequency of 256 hz. what is the wavelength of the sound coming from the fork when the air
1. What is the main purpose of human communication? 2. Name the two distinct areas of communication and give an example of each. 3. In your own words, define a ‘problem'
Water flows at the rate of 3.21 kg/s through a hose with a diameter of 3.52 centimeter. Find the speed of water in this hose
a spring is connected on one end to a wall and the other is free to be compressed. the spring constant is 25 ncm for
A 12.5 Kg block lies on a 30.0 degree incline. A rope connects the block to the upper end of the incline. The rope is parallel to the incline. what is the wave speed of waves on the rope
If two tiny identical spheres attract each other with a force of 3.20nN when they are 30.0cm apart, what is the mass of each sphere
current i 38.9 ma is set up in a loop having two radial lengths and two semicircles of radii a 7.06 cm and b 17.2 cm
A mass m1 = 5.3 kg rests on a frictionless table and connected by a massless string to another mass m2 = 5.3 kg. What is the final speed of the two blocks
A magnetic field is perpendicular to the plane of a single-turn circular coil. The magnitude of the field is changing, so that an emf of 0.95 V, What emf and current are induced in the square coil
Two soccer players start from rest,48m a part. they run directly toward each other, both players accelerating. the first player acceleration has a magnitudeof 0.50m/second square.the second player acceleration has a magnitude of 0.30m/second square. ..
A tennis player serves a tennis ball such that it is moving horizontally when it leaves the racquet. What was the initial speed of the tennis ball
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