Homework H2.D – Sp 25

Problem statement
Solution video


DISCUSSION THREAD

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DISCUSSION and HINTS

In this problem, end A of the bar is constrained to move along a straight horizontal path with a constant speed of vA, whereas end B is constrained to move along a straight, angled path. As you can see in the animation below of the motion of the bar, the speed of B is NOT a constant (the acceleration of B is non-zero, and is, in fact, increasing as B moves along its path).

In your solution, it is recommended that you use the rigid body kinematics equations relating the motion of ends A and B:

vB = vA + ω x rB/A
aB = aA + α x rB/A – ω2rB/A

For these equations, you know: i) the magnitude and direction for the velocity of A; ii) that the acceleration of A is zero (constant speed along a straight path); and, iii) the direction for the velocity and acceleration of B. These two vector equations produce four scalar equations that can be solved for four scalar unknowns: vB, aB, ω and α.

 

8 thoughts on “Homework H2.D – Sp 25”

    1. I’m pretty sure that since B is on an angled plane rather than vertical (like in the lecture book) we have to accommodate for the slant. So when you’re solving for velocity and acceleration you’ll have components for both i and j rather than just j.

  1. The angular velocity, ω, is an unknown. Usually it is equal to theta_dot k. With this problem including two angles, does this change ω? Same question for finding α.

  2. I got two equations for velocity and acceleration each. There were two unknowns for velocity equation which were omega and vb. For acceleration, angular accerlation and ab were the unknowns.

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