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Using the relations between coordinates and unit vectors in Cartesian and cylindrical coordinates, compute the velocity components in cylindrical coordinates for a general vector V = Vx i + Vy j + Vz k. Use your results to transform V = V j.
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Question: A pendulum is made by tying a 590 g ball to a 47.0 cm-long string. The pendulum is pulled 22.0^\circ to one side, then released. What is the ball's speed at the lowest point of its trajectory? To what angle doe ...
Question: A simple pendulum oscillates with frequency f. a) what is its frequency if the entire pendulum accelerated 0.43 g upward? b) what is its frequency if the entire pendulum accelerates 0.43 g downwards? The respon ...
Question: Suppose you have a block resting on a horizontal smooth surface. the block (mass m) is attached to a horizontak spring (spring constant k) which is fixed at one end. the mass is pulled to one side and released. ...
Problem: A block oscillating on a spring has a maximum speed of 20cm/s. What will be the block's maximum speed if its totalenergy is doubled? Explain. (in its simplest form of physics,please) The response must be typed, ...
Question: A quarterback is set up to throw the football to a receiver who is running with a constant velocity v? r directly away from the quarterback and is now a distance D away from the quarterback. The quarterback fig ...
Question: A speed skater moving across frictionless ice at 9.2 m/s hits a 5.0 m wide patch of rough ice. She slows steadily, then continues on at 5.8 m/s. What is her acceleration on the rough ice? The response must be t ...
Question: Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force neede ...
Question: It is proposed that future space stations create an artificialgravity by rotating. Suppose a space station is constructed as a1000-m-diameter cylinder that rotates about its axis. The insidesurface is the deck ...
Question: The radius of the earth's very nearly circular orbit around the sunis 1.5 x 10^11 m. Find the magnitude of the earth's velocity as it travels around the sun. Assume a year of 365 days. Express your answer using ...
Question: Some passengers on an ocean cruise may suffer from motion sickness as the ship rocks back and forth on the waves. At one position on the ship, passengers experience a vertical motion of amplitude 1.2m with a pe ...
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