The rod OA rotates clockwise with a constant angular velocity of 6 rad/s. Two pin- connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r = 200(2- cos 6) mm. (Figure 1) Figure 600 mm 6 rad/s 400 mm 200 mm 1 of 1 Determine the speed of the slider blocks at the instant = 145°. Express your answer to three significant figures and include the appropriate units. Value Submit Provide Feedback Request Answer 13? Units

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Chapter1: Units, Trigonometry. And Vectors
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The rod O A rotates clockwise with a constant angular velocity of 6 rad/s. Two pin-
connected slider blocks, located at B, move freely on OA and the curved rod whose
shape is a limacon described by the equation r = 200(2 - cos ) mm. (Figure 1)
Figure
B
600 mm
6 rad/s
400 mm
200 mm
1 of 1
Part A
Determine the speed of the slider blocks at the instant 0 = 145°.
Express your answer to three significant figures and include the appropriate units.
V =
Value
Submit
μA
Provide Feedback
Request Answer
Units
?
Next >
Transcribed Image Text:The rod O A rotates clockwise with a constant angular velocity of 6 rad/s. Two pin- connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r = 200(2 - cos ) mm. (Figure 1) Figure B 600 mm 6 rad/s 400 mm 200 mm 1 of 1 Part A Determine the speed of the slider blocks at the instant 0 = 145°. Express your answer to three significant figures and include the appropriate units. V = Value Submit μA Provide Feedback Request Answer Units ? Next >
Expert Solution
Step 1: Introduction and calculation of radial velocity

The angular velocity of the rod is 6 space text rad/s end text.

The angular position of the rod at the instant is 145 to the power of ring operator.

The given expression for the position of the rod is,

r equals 200 open parentheses 2 minus cos theta close parentheses

Find the radial velocity of the rod as follows:

table row cell v subscript r end cell equals cell fraction numerator d r over denominator d t end fraction end cell row blank equals cell fraction numerator d over denominator d t end fraction open parentheses 200 open parentheses 2 minus cos theta close parentheses close parentheses end cell row blank equals cell negative open parentheses negative 200 sin theta close parentheses theta with dot on top end cell row blank equals cell open parentheses 200 sin theta close parentheses theta with dot on top end cell end table

Substitute all the given values.

table row cell v subscript r end cell equals cell 200 sin 145 to the power of ring operator cross times 6 end cell row blank equals cell 688.3 space text mm/s end text end cell end table




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