Exercise 2 Consider the system in which a homogeneous bar of length L-50 cm and man Af 1 kg in hinged in the end A and i

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Exercise 2 Consider The System In Which A Homogeneous Bar Of Length L 50 Cm And Man Af 1 Kg In Hinged In The End A And I 1 (21.21 KiB) Viewed 25 times

Exercise 2 Consider the system in which a homogeneous bar of length L-50 cm and man Af 1 kg in hinged in the end A and is initially placed at rest in a horisontal position. The bar in left free to rotate (without friction) under the effect of the force of gravity. A sphere of radius r5 cm and mass m - 300 g is placed on a rough horisontal plane so that it is struck by the bar at its vertical position. After the impact, the bar stops a) Calculate the magnitude, and direction of the angular velocity vectory of the bar in the instant immediately preceding the collision with the ball. b) Calculate the velocity of the center of mass of the sphere an instant after the impact. (Please note during the impact. neglect the forces that are not impulsive). c) Suppose that from the instant immediately following the impact the ball begins to move with pare rolling motion. Calculate the kinetic energy of the sphere. Exercise 3 A mole of He has an initial temperature T₁ and occupies a volume VA The gas undergoes an isothermal transformation until it occupies a volume V-2VA. Then it undergoes another adiabatic transformation until it reaches a pressure equal to the initial one (PPA). Calculate the temperatures and volumes of the gas in the states U and C, as well as the heat exchanged Q. the work W done in the process and the change in the internal energy of the gas