Chapter 7, Problem 7.2P

P2. In Figure 2, @2= 10 rad/s CW (constant). Determine the angular acceleration of link 3 and the linear acceleration of point C on link 4. @₂ 4.0 in B 2 30° A A*B* = 4.0 in AB* = 2.0 in Fig.2 Linkages for Problem 2

1. A pancake body rotates about a fixed origin. Relative to that origin, a point A at FA = az on the object has instantaneous velocity VA = voŷ. At the same instant, a point B at FB = ay has instantaneous velocity UB = -002. (a) What is the angular rotation vector at that instant? (b) What is the velocity of point C at the location c = (+2)? 2. Find the angular momentum vector (magnitude and direction) of the point C in Problem 1 with respect to point B, assuming the point C has a mass m.

5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 3) if W = 2.2 rad/s and a = 7.9 rad/s2, what is the magnitude of the linear acceleration of point A in m/s²? Hint, don't forget linear acceleration has two components, normal and tangential. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. B Your Answer: 8 Answer 0.5 m ω, α

B FIGURE 1. Q;B = 1 in; BC = 3 in.; w = rad 1, constant. Find the absolute linear acceleration for point C. Hint: for constant 3 2 angular velocity, angular acceleration is zero. 45°

A circular body rotates according to the equation (S = 2 t4 – 4), Find the radius of the body to give an angular acceleration of (3 t2 rad / sec2

Q₂A = 8in; Q3B = 4in; Q_{2}*Q_{5} = 3.75in . The crank Q₂A rotates uniformly CW at a speed of 90 rpm. Find the absolute linear acceleration of point B.

Motor is driving a gear attached to the linkage in the mechanism as shown: Let r₁ r₂ = 10mm; c= 22mm; b= 100mm; a = 3mm; Determine the functions , of velocity of the slider with parameters (a,b,c) using the vector approach. (Hint: gears do not slip, link o-D is attached rigidly to the gear, pins at E and D allow free rotation) Schematic of kinematics: Velocity vector of point D: Velocity vector of point E: Equation of Velocity for the link E to F: b r₁ 12 Wm

Problem 5. rad/s, i = -2 rad/s?, = 5 rad/s, Ö = 10 rad/s². Find the angular acceleration of collar 2 at this instant, expressed in terms of i,,j, k,. Consider again the same system studied in Problem 3. Suppose that at 0 = 50°, it is known that h = 3 %3D Ans: đ2/0 = (15 - 107, – 2k1) rad/s² Z1 Body 1 22 A Body 2 X1 Body 3 В Side view X2 7. XB

Q1. Member AB is rotating (about fixed point A) with angular velocity (@ = 1 rad/sec) and angular acceleration (a = 2 rad/sec?) and driving the link CD (rotating about fixed point D at constant velocity) as shown in figure. Select five right answers. (a) Tangential Acceleration (a:) of link AB will not be zero (b) Tangential Acceleration (a) of link AB will be zero D 450mm (c) Tangential Acceleration (a,) of link CD will not be zero 200 mm 100 mm 60 H (d) Tangential Acceleration (a,) of link CD will be zero (e) All points on link CB will have same linear velocity 0 All points on link CB will have same angular velocity Formula • Tangential acceleration of a rotating link -ra • Radial (normal) acceleration of a rotating link = v³ /r= wr velocity of a rotating Ink (v) = r.w (g) Angular acceleration (a) for link CD will be zero (h) Angular acceleration (a) for link CB will not be zero Q2. Magnitude of linear velocity of any point “H" located at the half of the length of a rotating link CB…