P4.23, determine (a) the angular velocity of link 3 (b) the velocity of point C Use a complex number approach. ro,B = 5.0 cm; 'Bc = 6.0 cm; rBp = 10.0 cm 02 = 40°; Ô, = 15.0 rad/sec CW %3D B 60° 1 4 3. 2) 3.0 cm

1. Suppose a link that is held in a ball joint (spherical pair) at one end rotates with an instantaneous angular velocity. w = - i+j5 - k3 (rad/s) Find the instantaneous velocity of P, a point on the link defined by the radius vector r= 14 - j - k7 (mm).

Find out the velocity of slider D and angular velocity of CD in the mechanism shown below. Take Q1A= Q2B = 2cm; Q1Q2 = 4 cm; CD = 6 cm and wQ,A rad = 1 sec Solve using instantaneous center method. Use CCW direction. 20 QI 1 A Q2 20

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topic:kinematics of rigid bodies

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Solve it using complex algebra; otherwise, do not solve it. Calculate the rotational speed. theta 3' prime, and acceleration, theta 3" double prime for the mechanism in Fie 3 if theta3-50. roa=5cm and Rab= 15cm. using complex algebra method Subject: Theory of machine and mechanism

1 of 1 3. A four-bar linkage is shown below. (A) the directions of each. (B) E on link 3. Use the method of velocity vector polygons to calculate w, and wq. Report Find and report the magnitude and direction of the absolute velocity of point RAD = 10 cm, Rap = 15 cm, Ra = 60 cm; R = 65 cm; Rp = 15 cm W2 = 2 rad/s cw (Note: ADB and FEC are right triangles.) link 3 A. link 2

A four-bar mechanism is used to transmit power to slider E. Link AC rotates counterclockwise at 100 rpm. A and B are fixed points. The following linkages are measured in cm: AC=35, AB=70, CD=45, BD=45, DE=40. Find the instantaneous velocity of slider E in cm/s 1.Draw the mechanism in appropriate scale on your paper2. Find the instantaneous linear velocity of C3. Find a point on your paper to draw the velocity polygon and scale the magnitude of the computed linearvelocity4. Use the relative velocity equation for finding the linearvelocity of D; ? = ? + ?? ? ?/?5. Remember that although the magnitudes are unknown, their directions can be identified6. Obtain the magnitudes of the unknown velocities from the velocity polygon7. For Link DE, repeat the process by using ? = ? + ??the line as much as needed8. Remember that E is a SLIDER therefore it can only goin the direction where its movement is not constrained? . Add the vector ? to the head of ? and extend?/? ?/??

Given: A shaft rotates about a fixed vertical axis at a constant rate of f, as shown below. A straight bar OA, having a length of L, is pinned to point O on the shaft, with O being on the rotation axis of the shaft. At the instant when 80, bar OA is being raised at a rate of 6 from the horizontal plane, with this rate changing at a rate of . A set of ryz coordinate axes is attached to bar OA with its origin at O. A second set of coordinate axes, XYZ, are fixed to ground. At the instant when = 0, the zyz and XYZ axes are aligned with each other. Find: For the instant when -0°, determine the angular velocity and angular acceleration of har OA. vertical shaft bearing O 8 X bar Use the following parameters in your analysis: f2=5 rad/s, é = 4 rad/s, 6-3 rad/s² and L=2 m.