Reference no: EM131245761
Complete the midterm review questions. These are similar questions to those that you will see on the exam.
Problem #1:
Derive an expression for the velocity vector of the collar D, NVD
The upper arm (B) rotates about a horizontal axis (nˆx) at a rate q·1. The lower arm (C) Rotates about the longitudinal axis of B (bˆz), at a rate q·2. The collar (D) is located a distance q3 from the point Q. At time t = 0, q1 = q2 = 0 and nˆ2 = bˆ2 = cˆ2 .
You may leave your answer in a mixed basis.
Problem #2:
The figure below shows a planetary gear train. The ring gear (R) is stationary in N. The small gear (A) rotates at a rate of 5 rad/sec in the nˆz direction(NωA = 5n^z. Both gears (A and B) are mounted on the carrier (E). While not labeled, the center of gear A is point AO and gear B is point BO.
Find the angular velocity of B relative to N (NωB). You may leave your answer in a mixed Basis.
Problem #3:
The figure below shows some kind of contraption. The rod AB moves horizontally an amount q3 and the rod CE moves vertically an amount q2. A roller at point D allows relative vertical motion between the piston (P) and the end of rod R (point D).
Determine the velocity of point D in terms of an independent combination of q·1, q·2, and q·3.
Problem #4:
The figure below shows some kind of contraption. The shaft (S) rotates relative to N about the nˆy axis at a rate of ω1, as shown. The disk (D) rotates relative to S about the sˆx axis at a rate of ω2 , as shown. At time t = 0, q1 = q2 = 0 and nx = sx = dx. The point P lies on the edge of the desk (the position vector from center of the disk to P is given by r→P/G = Rdˆx.
Determine the velocity of P in N, Nv-P.
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