課程名稱︰普通物理學甲上 課程性質︰工學院必修 課程教師︰傅昭銘 開課學院：理學院 開課系所︰物理系 考試日期（年月日）︰ 考試時限（分鐘）：120 試題 : 一、Multiple Choice(3 points/each) 30% 1. Which state is correct? (1) The rate of change of the linear momentum of a particle is equal to the net force acting on the particle. (2) Newton's Second Law can be used to relate the momentum of a particle to the resultant force acting on it. (3) The impulse of the force F acting on a particle equals the change in the momentum of the particle, this is called Impulse-Momentum Theorem. (4) Newton called the product mv the"quantity of motion" of the particle. 2. A system of particles is known to have a total kinetic energy of zero. Then , the momentum of the system is zero. If a system of particles is known to ha- ve a total momentum of zero, does it necessarily follow that the total kinetic energy of the system is also zero? (1) yes (2) no Why: 3. You are holding a spinning bicycle wheel while standing on a stationary turntable. If you suddenly flip the wheel over so that it is spinning in the opposite direction, the turntable will (1) remain stationary. (2) start to spin in the same direction as before flipping. (3) start to spin in the same direction as after flipping. 4. Two spheres have the same radius and equal masses. One is made of solid al- uminum, and the other is made from a hollow shell of gold. Which one has the bigger moment of inertia about an axis through its center? (a) soild aluminum (b) hollow (c) same Why: 5. Which state is correct? (1) Bulk Modulus measures the resistance of a solid to a change in its length. (2) Sheer Modulus measures the resistance to motion of the planes within a solid parallel to each other. (3) The tensile strain is the ratio of the external force to the cross-sectio- nal area. (4) Tge tension stress is the ratio of the change in length to the original le -ngth. (5) Young's modulus is the ratio of (tension stress)/(tensile strain) 6. You are sitting on a swing. A friend gives you a push, and you start swinn- ing with period T_1. Supposed you were standing on the swing rather than sitt- ing. When given the same push, you start swinning with period T_2. Which of the following is true? (1) T_1 = T_2 (2) T_1 > T_2 (3) T_1 < T_2 7. Weighted hand in equilibrium condition as the right figure. How much force does the Biceps make? (1) 30.0 (2) 50.0 (3) 500 (4) 300 N （反正就是手臂拿一顆球） │\ mg = 50N │ \ d = 3cm │ \-- Biceps l = 30cm │ \ │ \ ┌──-┐ │ \ │ │ └──────────────── | d | | l | 8. A gyroscope can be described by its precessional motion. (1) The normal force produces a torque about the pivot, and this torque is pe- rpendicular to the axle. (2) Angular momentum of top's spin is changed by the torque, results in top precesses about the z axis. (3) The precessional frequency increases as the frequency of top's spin is in- creased. (4) The precession is usually slow relative to the spinning motion of the top. 9. After a pendulum starts swinning, its amplitude gradually decreases with ti- me because of friction. What happens to the period of the pendulum during this time? (1) period increases (2) period does not change (3) period decreases 10. (1) Oscillations are damped due to presence of frictional force. (2) Under condition of damping constant is very large, angular frequency of the damped oscillator would be equivalent ot angular velocity of the undamped oscillator. (3) The phenomenon is called as Resonance, whem the frequency of driving force is close to the natural frequency of the oscillator. (4) In the case of zero damping, the amplitude of forced oscillation motion at resonance is infinite. 二、Short Answer(3point/each) 27% 11. A plane is flying in a straight line at a velocity of v, relative to the ground, and the propeller is rotating at a speed of w radius per second. If the mass of the propeller is m, and the rotational inertia of the propeller a- bout its mass center is I_G, what is the kinetic energy of the propeller? 12. (a) Describe the Impulse-Momentum Theorem. (b) Describe partical application by the concept of Impulse-Momentum Theorem? 13. Write the expression for (a) Moment of inertia I in terms of density (b) If the moment of inertia of the uniform rigid rod rotating about its cent- er is I_CM = (1/12)ML^2, what is the moment of inertia of this rod rotating a- round one end? 14. A mass m moving horizontally at velocity v_0 on a frictionless table stri- kes a spring of force constant k. It compresses the spring and them bounces b- ack with opposite velocity. Assuming no loss of energy anywhere find out, (a) how long the mass is in contact with the spring (b) the maximum compression of the spring. 15. Physics expressiong of (a) Young's Modulus (b) Shear Modulus 三、Answer with detailed Physics deduction & mathematicla approach (43%) 1. Describe (a) the physic of precessional motion of a top (5 point); (b) pra- ctical applications utilizing the concept of precessional motion (4 point) 2. Describe physic behavior the Simple Harmonic Motion of (a) a spring-mass s- ystem (6 point) (b) a simple pendulum, with mathematical approach(6 point) 3. (a) Physic expression of a Damped Oscillator(4 point) (b) Describe the beh- avior of underdamped oscillation, critically damped oscillation and overdamped oscillation(4 poioint) (c) physic behavior of stress relaxation and creep of viscoelasticity(4 point) 4. (a) Physic models of musculotendinous units,(Tendon-spring-like elastic co- mponent in series with contractile component (proteins) and/or in parallel Pa- rallel elastic component (epimysium, perimysium, endomysium,sarcolemma), or (b) Innovative practical application utilizing physic concepts of Mechanics (10 point) --

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