Explanation Given: The velocity , angle and position vectors are shown in Figure (1). The velocity at point A is υ A = 6 m/s . Refer Figure (1): Calculate the radius r A − I C from point A to instantaneous center I C is. r A − I C = ( O B ) 2 + ( O A ) 2 (I). Write the expression to calculate the velocity υ A at point A . υ A = ω A B r A − I C (II). Here, the angular velocity is ω A B and radius from point A to instantaneous center I C is r A − I C . Calculate the radius r C − I C from point C to instantaneous center I C . r C − I C = ( O D ) 2 + ( O E ) 2 (III). Write the expression to calculate the velocity υ C at point A . υ C = ω A B r C − I C (IV). Here, the angular velocity is ω and radius from point A to instantaneous center I C is r A − I C . Refer Figure (1): Calculate the angle ϕ from trigonometric ratio of sin ϕ . sin ϕ = ( Opposite Hypotenuse ) ϕ = sin − 1 ( O A A B ) (V). Calculate the angle θ From Figure (1): θ = 90 ° − ϕ (VI). Conclusion: Substitute 5 m for ( O B ) and 4 m for ( O A ) in Equation (I). r A − I C = ( O B ) 2 + ( O A ) 2 = ( 5 ) 2 + ( 4 ) 2 = 3 m Substitute 6 m/s for υ O and 3 m for r A − I C in Equation (II)

Engineering Mechanics: Statics & Dynamics (14th Edition)

14th Edition

ISBN: 9780133915426

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 16.6, Problem 13FP

To determine

The angular velocity ωAB of the rod and the velocity of point C .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 16.6, Problem 2PP

Chapter 16.6, Problem 14FP

Students have asked these similar questions

Determine the angular velocity of the gear and the velocity of its center O at the instant shown. 4 ft/s 1.50 ft canizer 3 ft/s

3. Your design requires the piston P to move upward with a velocity of 300 in/sec at the instant shown. Determine the angular velocity of the crankshaft AB at this instant. 5 in. 1.45 in.

The 107-mm bar rotates with an angular velocity of 11 rad/s in counterclockwise direction. Find the velocity of the point A. wrad/s 80 mm

Chapter 16 Solutions

Engineering Mechanics: Statics & Dynamics (14th Edition)

Ch. 16.3 - When the gear rotates 20 revolutions, it achieves...Ch. 16.3 - The flywheel rotates with an angular velocity of ...Ch. 16.3 - The flywheel rotates with an angular velocity of (...Ch. 16.3 - The bucket is hoisted by the rope that wraps...Ch. 16.3 - A wheel has an angular acceleration of = (0.5 )...Ch. 16.3 - For a short period of time, the motor turns gear A...Ch. 16.3 - Prob. 1P Ch. 16.3 - The angular acceleration of the disk is defined by...Ch. 16.3 - The disk is originally rotating at 0 = 12 rad/s....Ch. 16.3 - Prob. 4P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The angular velocity ω A B of the rod and the velocity of point C .

Solution Summary: The angular velocity, angle and position vectors are shown in Figure (1).

Concept explainers

Videos

The angular velocity ωAB of the rod and the velocity of point C .

Want to see the full answer?

Chapter 16 Solutions