# Giancoli 4th

Give some example of everyday vibrating object. which exhibit SHM, at least approximately? 1. The pendulum on an old clock. 2. A guitar string after it gets plucked 3. The vibrations of the little quartz crystal in a digital watch. 2. toys called Newton’s cradle 3. the motion of a piston in an engine and 4. the vibrations of the atoms in a solid. 5. A micromass particle of light exhibits SHM. The Reason is that it oscillates without any mass changes during its motion. Is the acceleration of a simple harmonic oscillator ever zero? If so, when?

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Since the pendulum cannot accelerate as quickly, it cannot reach the maxima on either side of the equilibrium as quickly, resulting in a loss of time. (The clock runs slower) It will gain time. Higher Altitude = Less Gravitational Force Less Gravitational Force = Less Force on the Fabric of Time Clocks go faster with less resistance. Albeit, the difference will be minute, but there will be a difference It will lose time.. but only very slightly. Pendulum clocks keep constant time only when the accelerative force on the pendulum due to gravity remains constant.

As the distance between the centers of the two masses (the earth and the pendulum) increases, the accelerative force due to gravity decreases, thus slowing the movement of the pendulum and the clock in turn. the period of a simple pendulum at low ampltitude is: T = 2 pi sqrt (l/g) As you go up, g goes down, so it RUNS SLOW. 🙂 Since the acceleration due to gravity decreases, the frequency will also decrease which means the angular frequency will decrease so it will lose time. I also think that the pendulum clock will lose time because the acceleration due to gravity is decreasing and it is moving away from the center.

I agree the clock will lose time at a higher altitude. I also agree and think that the pendulum clock will lose time… this is because the acceleration due to gravity decreases so the the frequency will also decrease causing the angular frequency to decrease I think that the clock will lose time also because since the acceleration due to gravity decreases as you move up in altitude the frequency will decrease as well resulting in a lose of time I also that the clock would lose time because since the force due to gravity decreses, the pendulum feels less of a pull downward so it would sway slower.

The clock will lose time as it increases in altitude. As you increase in altitude, the force of gravity increases. Therefore, as the clock is taken to a higher altitude, the force of gravity on the pendulum will increase, and will decrease the time. An increase in altitude would cause the pendulum clock to slow losing time. At the higher altitude the force of gravity will decrese the acceleration. The acceleration of gravity at sea level is at its maximum and any variance from that point (above sea level or below) would make the pendulum lose time. The gravity will cause the pendulum to slow down… hus causing the clock to be behind in time I agree with what is said above, I think that gravity would cause the clock to lose time because gravity would slow down the pendulum in this instance. I agree that the clock will lose time at the higher altitude. The acceleration due to gravity decreases which means the frequency will decrease which means the angular frequency will decrease resulting in a loss of time. As the clock is moved further from the center of the earth, it loses time. This is because the acceleration from gravity decreases more and more as higher altitudes are reached.