**** UAE QUESTION 1 A ball is launched directly upwards from the ground. At max height, the ball has a gravitational potential energy of 200 J. If the ball the ball has a mass of 4 kg, then what was the initial velocity of the ball? Report your answer in units of meters per second (m/s) but only write down the number part.
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- O Review Constants A flywheel with a radius of 0.230 m starts from rest and accelerates with a constant angular acceleration of0.670 rad/s Part A Compute the magnitude of the tangential acceleration, the radial acceleration, and the resultant acceleration of a point on its rim at the start. Express your answers in meters per second squared separated by commas. ΑΣΦ m/s², m/s², m/s² Man 一0ad to Aotal = Submit Request AnswerA uniform hoop of mass m and radius R rolls down an inclined plane of length I without slipping. The plane, which is originally horizontal, is lifted up at a constant rate such that the angle of the plane with the horizontal at time t is o = wt (see figure). R g O = 0 t (a) i. q and 0 are not independent. If 0 = 0 when q = 1, determine the relation between them. ii. Determine the height of the centre of mass of the hoop above the base of the plane. iii. Hence show that the Lagrangian of the body, expressed in terms of the distance q from the pivotal point of the plane, is L = ma² +ms'q? – mg(a sin wt + Rcos wt). (b) Determine the Euler-Lagrange equations for the system. Note: you may assume the Lagrangian equations of motion for generalised co-ordinates q:: d (OLDon't need a lot of details. Just do the math. Thanks Determine the angular velocity, wAB, of link AB and the velocity, UB, of collar B for the instant represented. Assume the quantities wo and r to be known. 2r 45 B
- This is the answer to one of my practice problems, however I don't understand how the angular acceleration is simplified for A, B and C. How does rFsin90/(2M)(2L) equal 3F/ML and etc. for the other ones? And then after you simplify all the angular accelerations, how do you know which one is smallest to greatest? How do you tell that C is greater than B?3. End A of the link has a downward velocity vĄ of 2 m/s during an interval of its motion. For the position where 0 = 30° determine the angular velocity w of AB and the velocity ve of the midpoint G of the link. Solve the relative-velocity equations, first, using the geometry of the vector polygon and, second, using vector algebra. show complete solution show free-body diagram 200 mm Va BJust give me the last step solutions(make the solution shortest) and give me the answer. Thank you.
- I Review I Constants Part C An electric turntable 0.780 m in diameter is rotating about a fixed axis with an initial angular velocity of 0.210 rev/s. The angular acceleration is 0.918 rev/s?. What is the tangential speed of a point on the tip of the blade at time t = 0.206 s? Express your answer in meters per second. v = 0.978 m/s Submit Previous Answers Correct Part D What is the magnitude of the resultant acceleration of a point on the tip of the blade at time t = 0.206 s? Express your answer in meters per second squared. ΑΣφ ? a = 0.059 m/s? Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remainingDraw a sketch of the particles trajectory as well as answering the questionIn the space below, make a sketch of angular displacement, , as a function of time as you slowly and steadily bring your foot from beneath you, to the extended position. Appendix A has a nice review of how to sketch a plot of “something” vs. “another thing”. You may find the drawing function in Google docs useful in creating the plot. Or you can sketch it out on paper and attach a photograph of the sketch, your preference.
- Please provide type solution fast i will rate for sureCould you provide a diagram and explanation of why the arctan of Ac/At gives the direction of the acceleration vector? I'd like to understand. I'm assuming that the angle is in reference to the axis of the radius. Thank you.Below is a sketch of the toy on a rotor ride at the moment after the floor drops. The rotor has a radius of R and the toy has mass m. Assume the angular velocity is constant, and the toy is not slipping downward. write Newton’s Second Law for the x and y directions. Use algebra and your equations above to predict the minimum angular velocity ωmin necessary to keep the toy “stuck” to the side of the rotation tube. Express your answer in terms of g, μs, R. (nonumbers yet). Show all of your work and your final result below.