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Two equal objects (of mass m) on effectively frictionless horizontal air track are held between rigid supports by three identical springs (spring constant k) in a set up of one spring attached to each of the supports and one of the masses and the third spring between the masses. A) what is the frequency of oscillation if one of the masses is clamped down? B) what are the frequencies of the two modes of vibration when both masses are allowed to vibrate freely?
The mast of a sailboat is supported at the bow and stern by stainless steel wires, the forestay and backstay, Find the tension in the backstay and the force that the mast exerts on the deck
An unhappy rodent of mass 0.289kg , moving on the end of a spring with force constant 2.52N/m , is acted on by a damping force Fx=?b?vx. If the constant b has the value 0.894kg/s , what is the frequency of oscillation of the mouse
Imagine that you are riding a bicycle facing due east, and travelling forwards. In what direction is the angular momenta of the bicycle wheels
Two balls are released simultaneously from the top of a tall building. Ball A simply dropped with no initial velocity, and Ball B is thrown downward with and initial velocity of 12 m/s.
A compact disk (CD) in a computer rotates from rest up to an angular speed of 31.4 rad/sec in 0.892 sec. What is the angular acceleration of the disc
Suppose that a 1.00 cm3 box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.05 10-3 g. Find the average pressure on the other walls
The intensity of sunlight striking Earth's upper atmosphere (called the solar constant) is 1.35 kW/m2. Find the radiation pressure at the surface of the sun
A 14.0 kg block of metal measuring 12.0 cm x 10.0 cm x 10.0 cm is suspended from a scale and immersed in water. find the forces acting on the top and on the bottom of the block
A train traveling at v0 = 25.0 m/s begins to brake by applying a velocity-dependent instantaneous acceleration a(v) = ? /(v u) m/s2, Determine the distance traveled by the train until it comes to a complete stop
part of the wonder of blowing soap bubbles is watching the different colors reflect. if part of the soap bubble looks
In the figure below, a frictionless roller coaster car of mass m tops the first hill with speed v0 at height h. What is the speed of the car at (a) point A, (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too hig..
A skateboarder shoots off a ramp with a velocity of 5.7 m/s, directed at an angle of 53° above the horizontal. how far is this point horizontally from the end of the ramp
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