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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.
Find out the normal force for a laundry basket
How long would it take you to cover the 83 length of the walkway if, once you get on the walkway, you at once turns around and start walking in the opposite direction with a speed of 1.7 relative to the walkway.
What is coefficient of friction between chair and floor
Jack is a second-grade student. He seems to have no interest in learning, frequently daydreaming in class and frequently disrupting the class by throwing objects at other students. Explain how a bio psychosocial approach may provide both an integrate..
A 220 g air-track glider is attached to a spring. The glider is pushed in 12cm against the spring, and then released. A student with a stopwatch finds that 16 oscillations take 11.5.
An asteroid is discovered heading straight toward Earth at 13km/s. An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 mins, after which the asteroid is moving at 28 degrees to its original path at a..
What is the effect of thermal insulation on cooling
A microscope with an eyepiece lens of focal length 1.90 cm and an objective lens of focal length 1.15 cm is used to examine a section of the brain of a sacrificed rat. The distance between the lenses of the instrument is 24.0 cm and final image is vi..
Two cars with equal mass collide head on. One car is going 18 mph. That car is push backward about 38 feet. What is the speed of other vehicle.
A hydrometer is used to measure the specific gravity of liquids. For a sure liquid a hydrometer reading indicates a specific gravity of 1.15. What is the liquid's density and specific weight? State the answer in SI units.
The magnitude of the vector is 45.0 units and points in the direction 386 counter clockwise from the positive x-axis. Calculate the x-component of this vector.
What is tension in each string
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