Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building. When the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. Damping the motion of the mass reduces the maximum amplitude of oscillation of the building. a. What is the period of oscillation of the building? b. During strong winds, how fast is the pendulum moving when it passes through the equilibrium position?
Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building. When the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. Damping the motion of the mass reduces the maximum amplitude of oscillation of the building. a. What is the period of oscillation of the building? b. During strong winds, how fast is the pendulum moving when it passes through the equilibrium position?
Taipei 101 (a 101-story building in Taiwan) is sited in an area that is prone to earthquakes and typhoons, both of which can lead to dangerous oscillations of the building. To reduce the maximum amplitude, the building has a tuned mass damper, a 660,000 kg mass suspended from 42-m-long cables that oscillates at the same natural frequency as the building. When the building sways, the pendulum swings, reaching an amplitude of 75 cm in strong winds or tremors. Damping the motion of the mass reduces the maximum amplitude of oscillation of the building.
a. What is the period of oscillation of the building?
b. During strong winds, how fast is the pendulum moving when it passes through the equilibrium position?
1. The diagram shows the tube used in the Thomson
experiment.
a. State the KE of the electrons.
b. Draw the path of the electron beam in the gravitational
field of the earth.
C.
If the electric field directed upwards, deduce the direction of the magnetic field so it
would be possible to balance the forces.
electron gun
1KV
as a hiker in glacier national park, you need to keep the bears from getting at your food supply. You find a campground that is near an outcropping of ice. Part of the outcropping forms a feta=51.5* slopeup that leads to a verticle cliff. You decide that this is an idea place to hang your food supply out of bear reach. You put all of your food into a burlap sack, tie a rope to the sack, and then tie a bag full of rocks to the other end of the rope to act as an anchor. You currently have 18.5 kg of food left for the rest of your trip, so you put 18.5 kg of rocks in the anchor bag to balance it out. what happens when you lower the food bag over the edge and let go of the anchor bag? Determine the acceleration magnitude a of the two-bag system when you let go of the anchor bag?
2. A thin Nichrome wire is used in an experiment to test Ohm's
law using a power supply ranging from 0 to 12 V in steps of 2 V.
Why isn't the graph of I vs V linear?
1.
Nichrome wire does obey Ohm's law. Explain how that can that be true given the
results above
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