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Q1. If the ultimate shear strength of steel is taken to be 2.50 x 10^9 Pa, what force is required to punch through a steel plate 2.20 cm thick? Suppose the superhero's fist has cross-sectional area of 8.00 x 10^1 cm2 and is approximately circular.
Q2. Two heavy pendula of mass m are suspended from strings of length l inside a railroad car of mass M that can roll freely on horizontal tracks (ignore the moment of inertia of the wheels).
a) Write down the Lagrangian for the three degree of freedom in the problem.
b) Use momentum conservation to eliminate one of the degree of freedom and rewrite Lagrangian accordingly.
c) Find out the frequencies of the normal modes.
Write down the original position of the system
What is weight of the parachutist
Note the gravitational acceleration of equatorial sea level is g = 32.0088ft/s^2 and that its variation is 0.003ft/s^2/ 1000ft ascent. find the height in miles above its point for which g = 30.504 ft/s^2 and what is the weight of a 180lb man on top o..
A 45.4 kg girl is standing on a 144 kg plank. The plank, at first at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.60 m/s relative to the plank. Wha..
How to find out an initial speed of the bullet
What is change in electrical potential energy of electron
Because the mass would not make it around the loop if released from the height of the top of the loop (do you know why?) it should be released above the top of the loop-the-loop height.
What is the reading of spring scale
How long will it take you to cover the 99 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway.
When two point charges are a distance R apart, their potential energy is -2.00 .How far (in terms of R) should they be from each other so that their potential energy is -6.00.
Two boats start together and race across a 62-km-wide lake and back. Boat A goes across at 62 km/h and returns at 62 km/h. Boat B goes across at 31 km/h, and its crew, realizing how far behind it is getting, returns at 93 km/h.
An airplane pilot wishes to fly due west. A wind of 88.0 km/h is blowing toward the south. What is the speed of plane over the ground in km/h.
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