Purchase Solution

# Coriolis Acceleration Physics

Not what you're looking for?

Question: Pin P is attached to the collar shown; the motion of the pin is guided by a slot cut in bar BD and by the collar that slides on rod AE. Rod AE rotates with a constant angular velocity of 5 rad/s clockwise and the distance from A to P increases at a constant rate of 2 m/s. Determine at the instant shown (a) the angular acceleration of bar BD, (b) the relative acceleration of pin P with respect to bar BD.

Please view attachment to see a diagram of this scenario.

##### Solution Summary

This solution consists of a detailed step-by-step response of how to work through the calculations required to complete both parts of this physics-based question. Additionally, a diagram is attached (jpg file) to provide further clarification.

##### Solution Preview

Note: A diagram is attached.

Let at the instant the AE rod makes an angle theta with the vertical and Bd makes phi with the horizontal, point P be at distance r from A, BP = r', AB = s.

The velocity of point P along the bar AE:
v||AE = u = dr/dt = 2 m/s
The velocity of point P perpendicular to bar AE:
v_perpAE = w*r
Where w = angular velocity of bar AE = 5 rad/s

Hence, velocity of point P perpendicular to bar BD:
v_perpBD = w*r*sin(theta+phi) - u*cos(theta+phi)
Hence, angular velocity of bar BD:
d(phi)/dt = w' = v_perpBD/r'
w' = {w*r*sin(theta+phi) - u*cos(theta+phi)}/r'

From triangle ABP, by sine ...

Solution provided by:
###### Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
###### Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.