Question Determine the moment of inertia for the beam’s cross-sectional area about the y axis. 1 in.in.3 in.- 3 in.-4 in.—х'1 in.Probs. 10–40/41

A constant traffic demand is entering a highway (2 lanes) with the flow-density relationship shown below. Since a traffic accident occurred on the highway at 5 am., a queue grew to 70 km in length by noon (12:00 pm). The queue discharge rate of 2400 yeh/h was observed at the downstream of the accident site. Determine the traffic density and speed in the queue (congested section). Calculate the average speed of shockwave propagating to the upstream. Estimate the traffic demand entering the highway. Show the shockwave on the graph.

A solid disk, a hoop, and a solid sphere are released at the same time at the top of an inclined ramp. Each has mass M and radius R. They all roll without slipping. In what order (fastest to slowest) do they reach the bottom of the ramp, if the moments of inertia of the disk, hoop, and sphere are ½ MR2, MR2, and 2/5 MR2? A) disk, hoop, sphere B) disk, sphere, hoop C) sphere, hoop, disk D) hoop, sphere, disk E) sphere, disk, hoop

R W R3 ww 10 12 ww R2 1 Write down the Kirchhoff Junction equation and solve it for I; in terms of 12 and 13. Write the result here: Ij = write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise. 0 write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 10V, Ry, 4V, and Ry O The resistors in the circuit have the following values . - R2 • Ry=60 Ry=130 Solve for all the following (some answers may be negative); 11 - Amperes 12 Amperes 13 Amperes NOTE: Forthin

3. Find the area between the curve y = 2^x andthe chord joining the points (0,1) and (2,4). 4. Find the coordinates of the centroid bounded bythe curve y = x^3 and the line x = 2.

16. A disk, a hoop and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom? a. Disk, hoop, sphere b. Hoop, sphere, disk c. Sphere, disk, hoop d. Sphere, hoop, disk e. Hoop, disk, sphere 17. A wheel rotates through an angle of 360° as it slows down from 78 rpm to 16. A disk, a hoop and a solid sphere are released at the same time at the top of an inclined plane. They all roll without slipping. In what order do they reach the bottom? a. Disk, hoop, sphere b. Hoop, sphere, disk c. Sphere, disk, hoop d. Sphere, hoop, disk e. Hoop, disk, sphere 17. A wheel rotates through an angle of 360° as it slows down from 78 rpm to 2 What is the magnitude of the average angular acceleration of the wheel?! a 8.14 rad/s

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. The set of al 4 x 4 matrices of the form O b a a o b c са о babi with the standard operations O The set is a vector space. O The set is not a vector space because it is not closed under addition. O The set is not a vector space because it does not satisfy the associative property of addition. O The set is not a vector space because a scalar identity does not exist. O The set is not a vector space because it does not satisfy the distributive property.