Show that the moment of inertia of an elliptic area of mass Mand Ma²b² Find the radius of 4 ² semi-axes and b about a diameter of length 27t gyration.
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- #3A solid cylinder with mass mm and radius rr rolls without slipping down an incline that makes a 29.5° with the horizontal. What is the acceleration of the cylinder?A suspended homogeneous rod AB of length, 75 cm and mass of 5 kg is rotating about one of its ends (A) at an angular velocity of 10.24 rad s-1. 1). Calculate the moment of inertia I of this rod. 2) What is the corresponding linear velocity of the free end, B? 3) The end B hits and sticks to a ball of radius R=12.5 cm and mass 850 g moving in the opposite direction with a linear velocity of 5.48 m.s-1. Use the principle of conservation of momentum to find the linear velocity of the ball-rod system after the collision
- A frisbee’s stability is maintained by its angular momentum. A 175gram frisbee with a diameter of 12inchesis thrown with an angular velocity of 5rev/s . Assume the frisbee can be modeled as a flat solid disk. Find the magnitude of the angular momentum vector.Dont use AI A tall, cylindrical chimney falls over when its base is ruptured. Treat the chimney as a thin rod of length 53.2 m. At the instant it makes an angle of 34.1° with the vertical as it falls, what are (a) the radial acceleration of the top, and (b) the tangential acceleration of the top. (Hint: Use energy considerations, not a torque.) (c) At what angle θ is the tangential acceleration equal to g? Assume free-fall acceleration to be equal to 9.81 m/s2.Problem 2. Radius R=2m and mass M₂ 30ng is turning in on the a horizontal plane, around a vertical axis. On the axis, acts a uniform frictional torque to.. A lump of clay, with mass m = 2,5 kg falls disc, at a distance d = 1.8m from the axis and it remains glued to the dise. The dimensions the lamp are such that it be considered like A disc of of of a material may point. kle know that immediately before the collision the angular velocity 63 W₁= Hπ radls and the dise Comes to rest after 30.5 tums. Find : a) the angular Velocity Wa of the system Immediately after the collision b) the frictional torque to Please answer the above question Step-wise, Showing detailed explanations, including diagrams here Thanks in adhlanced !!! pecessary.
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