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Q. Two harmonic oscillators A and B, of mass m and spring constants kA and kB, respectively, are coupled together by a spring of spring constant kC. Find the normal frequencies w' and w" and describe the normal modes of oscillation if kc^2=kAkB.
Q. Suppose that in the same Atwood setup another string is attached to the bottom of m1 and a constant force f is applied, retarding the upward motion of m1. If m1 = 4.80 kg and m2 = 9.60 kg, what value of f will reduce the acceleration of the system by 50%?
A loudspeaker is placed between two observers who are 120 m apart, along line connecting them. If one observer records a sound level of 52.8 dB and the other records a sound level of 83.5 dB, how far is the speaker from each observer? Enter the longe..
Study of the fragment
Assume you are 80cm from a plane mirror. What area of the mirror is used to reflect rays entering one eye from a point on the tip of your nose if your pupil diameter is 5.60 mm.
A plane leaves the airport in Galisto and flies 165 at 68.0 east of north and then changes direction to fly 230 at 48.0 south of east, after which it makes an immediate emergency landing in a pasture.
A glider of mass 1.00 kg is allowed to oscillate under the influence of a spring of spring constant 25.6 N/m while on a frictionless, horizontal air track. At t = 0 s glider is released from rest at x = 5.00 cm. (At equilibrium, the glider is at x = ..
What is your displacement after running 2.60 west on Strawberry Fields, 1.1 south on Penny Lane, and 5.0 north of east at 40 degree on Abbey Road.
If the pump outlet is blocked and the handle pushed until internal length of the pump cylinder is 21, by how much does the air temperature rise? Suppose that no heat is lost.
An asteroid is discovered heading straight toward Earth at 13 . An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 , after which the asteroid is moving at 29 to its original path at a speed of 18..
Planet Z is 12,000 km in diameter. The acceleration due to gravity on Planet Z is 7.0 m/s2.
A 100g wire is held under a tension of 250N with one end at x = 0 and other x = 10m. At time t = 0, pulse 1 is sent along the wire from the end at x = 10 m. At time t = 30 ms, pulse 2 is sent along the wire from the x = 0. At what position x do the..
What is the length of the shadow cast on the vertical screen by your 9 cm hand if it is held at an angle of 20 above horizontal.
A 0.95 kg air-track glider is attached to each end of the track by two coil springs. It takes a horizontal force of 0.500 N to displace the glider to a new equilibrium position, x= 0.130 m.
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