Question

Notify Me Bookmark

Determine the x-and y-coordinates of the mass center of the plate of uniform thickness t = 0.40 in. The plate has a density that varies according to ρ = ρ0(1 + x 2b). Answers: x¯ = in. y¯ = in.

Determine the x-and y-coordinates of the mass center of the plate of uniform thickness t = 0.40 in. The plate has a density that varies according to ρ = ρ0(1 + x 2b). Answers: x¯ = in. y¯ = in.

Image text
Determine the x -and y -coordinates of the mass center of the plate of uniform thickness t = 0.40 i n . The plate has a density that varies accoring to ρ = ρ 0 ( 1 + x 2 b ) . Answers:
x ¯ = i in. y ¯ = i

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A uniform stick of length l and mass m is held horizontally. At t = 0 it is released. At the same time, a sharp upward blow by a force of magnitude F and direction perpendicular to the stick is applied at a distance d from the center for a duration Δt. The stick flies up into the air and falls back under gravity. Determine the distance d such that when the center of the stick falls back to the same height it started with, the stick will have rotated exactly once. Assume that the force F is much larger than the force of gravity during the time the impulse is applied, and that Δt is very small in comparison to the time the stick is in the air. The stick has a moment of inertia about an axis passing through the center of mass given by ICM = 1 12 ml2. Express you answer in terms of some or all of the following: pi for π, g, l, m, F and Deltat for Δt. d =
Solution
0 0

The two ends of a length of chain are attached so that the chain makes a circle. If the chain is then spun very quickly, it can roll along the ground like a bicycle tire without crumpling. Consider the rolling chain shown in the figure. Assume the chain has uniform linear mass density μ and its center of mass moves to the right at a speed v0. (a) Determine the tension in the chain in terms of μ and v0. Assume the weight of an individual link is negligible compared to the tension. T = (b) If the loop rolls over a small bump, the resulting deformation of the chain causes two transverse pulses to propagate along the chain, one moving clockwise and one moving counterclockwise. What is the speed of the pulses traveling along the chain? (Use any variable or symbol stated above as necessary.) v = (c) Through what angle (in rad) does each pulse travel during the time interval over which the loop makes one revolution? (Assume the angle is measured clockwise from the ground. ) clockwise-traveling pulse rad counterclockwise-traveling pulse rad
Solution
0 0

The drawing shows three particles that are moving with different velocities. Two of the particles have mass m, and the third has a mass 2 m. The third particle has a velocity of v3 = +5.2 m/s. At the instant shown, the center of mass (cm) of the three particles is at the coordinate origin. What is the velocity vcm (magnitude and direction) of the center of mass? Velocity of center of mass = Number Units direction
Solution
0 0