What are the things to be considered in describing the motion of a physical pendulum? The mass of the object, gravity and axis of rotation. Vhat are the examples of a physical pendulum? Possible answers: Chandelier, eiling fan, lantern nat are the laws of simple pendulum?
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- A 500g mass is undergoing simple harmonic oscillation that is described by the following equation for its position x(t) from equilibrium: n rad x(t) = (0.50m) cos (6.07 rad/s)t+ 6.05 kilogram object is suspended from a string. The string is 4 meters long. What is the period of the object ting as a pendulum? Express your answer a number of seconds, omitting the unit.A point rotates about the origin in the ?? plane at a constant radius of 0.266 m with an angular velocity of 8.01 rad/s. The projection of this point's motion on the ?- or ?-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period?
- The device depicted in the figure below entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. Jon Jemp a) If the spring stretches 0.247 m while supporting a 9.9 kg child, what is its spring constant? Number N/m b) What is the time for one complete bounce of this child? Number S c) What is the child's maximum velocity if the amplitude of her bounce is 0.18 m. Number3. The physical pendulum. (a) In class, we derived the formula for the frequency of the physical pendulum W3 Mgl I (1) Show that the expression for the frequency of the simple pendulum is consistent with this. Then derive (1) using the energy method, where the total energy is the sum of the rotational kinetic energy 1/1 (do/dt) 2 and the potential energy of the centre of mass mghem. To obtain the result you will need to use the small angle expression for cosine: cos 01-02/2, for 0 < 1. (b) A thin square plate of side L and mass M is hanging from a pivot that is drilled into one of its corners. The pivot passes perpendicularly through the plate. The plate is then lightly tapped and starts to undergo small oscillations. Using the energy method, determine the period of the oscillation, making the small angle approximation. The moment of inertia for an axis running through the centre of a square plate is ICM ML²/6. =A point rotates about the origin in the ?? plane at a constant radius of 0.211 m with an angular velocity of 9.01 rad/s. The projection of this point's motion on the ?- or ?-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period?
- Flag quest Calculate acceleration due to gravity of a simple pendulum of mass 10 kg suspended on 7.6 m wire oscillating with the frequency of 10 Hz. Provide your answer in Sl units. Answer: Choose...Clem now is bored. The life of a cat. She disengages and begins to to bat at the toy at the end of the line essentially making a pendulum system. We will be modeling it as a simple pendulum now. Assume in these questions the line remains massless and taut. stoy sy 3. Clem bats the string to where the end is up a distance of Ay from the ground. What is the tangential velocity of the string when it passes through the origin? This is the maximum speed. Write in terms of Ay, m,, 0, g, and other mathematical constants. (Note: you might not have all of these variables in your final answer) 1 4. What is the ma um angle it will reach given the speed you calculated from the previous problem? Write in terms of Ay, m,, 0, g, and other mathematical constants. (Note: you might not have all of these variables in your final answer and assume the angle remains small such that we are assumed to be in SHM)A 1.31 m long thin uniform rod is pivoted at one point so that it oscillates like a physical pendulum. Compare the angular frequency of this physical pendulum with a simple pendulum of the same length, both oscillating near the earth's surface. Round off your final answer to two decimal places. Hint: physical (0 simple Add your answer