1 / 6

{image} {image} {image} {image}

1. 2. 3. 4. A spring with a 4-kg mass has natural length 0.8 m and is maintained stretched to a length of 1.2 m by a force of 25.6 N. If the spring is compressed to a length of 0.6 m and then released with zero velocity, find the position x ( t ) of the mass at any time t. {image} {image}

hamlin
Download Presentation

{image} {image} {image} {image}

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1. 2. 3. 4. A spring with a 4-kg mass has natural length 0.8 m and is maintained stretched to a length of 1.2 m by a force of 25.6 N. If the spring is compressed to a length of 0.6 m and then released with zero velocity, find the position x ( t ) of the mass at any time t. • {image} • {image} • {image} • {image}

  2. 1. 2. 3. 4. A spring with a mass of 4 kg has damping constant 32 and spring constant 128. Graph the position function of the mass at time t if it starts at the equilibrium position with a velocity of 4 m / s. • {applet} • {applet} • {applet} • {applet}

  3. 1. 2. 3. 4. Suppose a spring has mass M and spring constant k and let {image} . Suppose that the damping constant is so small that the damping force is negligible. If an external force {image} is applied (the applied frequency equals the natural frequency), use the method of undetermined coefficients to find the equation that describes the motion of the mass. • {image} • {image} • {image} • {image}

  4. 1. 2. 3. 4. A series circuit consists of a resistor {image} , an inductor with L = 2 H, a capacitor with C = 0.025 F, and a 12-V battery. If the initial charge is 0.0011 C and the initial current is 0, find the current I ( t ) at time t. • {image} • {image} • {image} • {image}

  5. 1. 2. 3. 4. A series circuit consists of a resistor {image} , an inductor with L = 1 H, a capacitor with C = 0.0125 F, and a 12-V battery. If the initial charge and current are both 0, find the charge Q ( t ) at time t. • {image} • {image} • {image} • {image}

  6. 1. 2. 3. 4. A series circuit consists of a resistor {image} , an inductor with L = 1 H, a capacitor with C = 0.002 F, and a generator producing a voltage of E ( t ) = 12cos 10t. If the initial charge and current are both 0, find the charge Q ( t ) at time t. • {image} • {image} • {image} • {image}

More Related