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A light, inelastic rope is wrapped around a cylinder, passes over a pulley, and is attached to one end of a spring of spring constant k = 7 N/m. The other end of the spring is attached to a stationary point on the ground . The cylinder and the pulley turn without friction about stationary axles through their centers. The uniform cylinder has mass mC = 5.00 kg and radius rC = 40.0 cm. The pulley is a uniform disk having mP = 2.00 kg and radius rP = 20.0 cm. The cylinder is "wound-up" so that the spring is stretched d = 30.0 cm longer than its equilibrium length, and then released from rest. There is no slipping as the rope unwinds from the cylinder, and there is no slipping between the rope and the pulley. Find the maximum angular velocity of the cylinder, i.e. just as the spring contracts back to its equilibrium length.
a string of linear density 1.60gm is stretched between clamps 48.0cm apart. the string does not stretch appreciably as
A 94.0 cm pendulum is released from a small angle. After 113 oscillations the amplitude is one half of its original value. The damping is proportional to the speed of the pendulum bob. Find the value of the damping coefficient, ?, (in Hz).
A 450 nm laser is shown through a single slit. A second 450 nm laser is shown through a double slit. Find the location of the third order minimum for both the single and double slit
The first has a magnitude of 128 cm and makes an angle of 113 degrees with the positive x axis. The resultant displacement has a magnitude of 180 cm and is directed at an angle of 39 degrees to the positive x axis.
What is magnitude of the greatest force
IF Earth's orbit were suddenly to become much more eccentric. keeping orbital semimajor axis as is, fixed at 1 AU, but let's imagine shifting both the Earth's perihelion and aphelion points by 0.9 AU, so that at perihelion we were only 0.1 AU from th..
8g of helium at an initial temperature of 280Kinteracts thermally with 7.0g of oxygen at an initial temperature of 550K What is the final thermal energy of each gas
At a ball game, consider a baseball of mass m = 1.07 kg that falls directly downward at a speed v = 50 m/s into the hands of a fan. what is the average force of the ball on the catcher's hand
A bat strikes a 0.145-kg baseball. Just before impact, the ball is traveling horizontally to the right at 60.0m/s , Find the vertical component (Fy) of the average force on the ball
When a 58-g tennis ball is served, it accelerates from rest to aspeed of 44 m/s. The impact with theracket gives the ball a constant acceleration over a distance of42 cm. What is the magnitude of the netforce acting on the ball?
A parallel plate capacitor of capacitance 8.0 µF has the space between the plates filled with a slab of glass with ? = 2.6. Find the potential difference after the glass is removed
A textbook of mass 2.10kg rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.190m, What is the tension in the part of the cord attached to the book
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