PHYSICS 210 Practice Final Exam, Janatpour Name: _______________________ Date: ________ In questions one and two, to get credit, you explain must your choice. Q1) In Figure 1 are scale drawings of four objects, each of the same mass and uniform thickness. Which has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing? In each case the axis passes through point P. A) A B) B C) C D) D E) The moment of inertia is the same for all of these objects. Figure 1 Q2) In Figure 2, a given force F is applied to a rod in several different ways. In which case is the torque due to F about the pivot P greatest? A) 1 B) 2 C) 3 D) 4 E) 5 Figure 2 Q3) State Newton’s Second of Motion for rotation and translation in their general forms. Q4) State the work-energy theorem accurately and demonstrate it by an example. 1) A potter’s wheel, with rotational inertia 24 kg.m2 is spinning freely at 40.0 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay? Assume that lump of clay is a point mass. 2) In Figure 3, two blocks, of masses 2.0 kg and 3 kg, are connected by a light string which passes over a pulley of moment of inertia 0.0040 kg.m2 and radius 5 cm. The coefficient of friction for the table top is 0.30. The blocks are released from rest. Using energy methods, find the speed of the upper block after the it has moved 0.6 m. Figure 3 3) A 0.12 kg block on a horizontal frictionless surface is attached to a spring whose force constant is 570 N/m. The block is pulled from its equilibrium position at x = 0 m to a displacement x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the x-axis (horizontal). Find the displacement of the block at time t = 0.20 seconds. 4) A 2.0kg disk is rotating at 150rpm about an axis perpendicular to its plane and through its center. A force, F, is applied to its rim and perpendicular to the rim. The disk stops in 10.0 seconds. The radius of the disk is 10.0cm. The kinetic friction at the point of the contact of the force and the rim is 0.25 (Assume constant coefficient.) What is the magnitude of the force, F?

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