Concept explainers
The angle between oscillating plane and y axis.
Answer to Problem 11.180P
Explanation of Solution
Given information:
According to problem
The first derivative of motion is equal to velocity,
The first derivative of velocity is equal to acceleration,
Calculation:
According to given information,
Differentiate to find velocity,
Differentiate to find acceleration
Solve and rearrange,
Now, find the vector
Therefore,
The angle
But, we know that,
Therefore,
According to above figure,
The angle
Then,
Therefore,
Conclusion:
The angle
Want to see more full solutions like this?
Chapter 11 Solutions
Vector Mechanics For Engineers
- consider the slider-crank mechanism shown. Crank AB is 3.00 m long. Rod BD is 2.00 m long. The velocity at point B is 6.00 m/s, ↘45.0°. a. speed of the piston at D? b. On which area is the instantaneous center of rod AB located?arrow_forwardThe disk rolls without sliding on the fixed horizontal surface. At the instant shown, the instantaneous center of zero velocity for rod AB would be located in which region?a. Region 1b. Region 2c. Region 3d. Region 4e. Region 5f. Region 6arrow_forwardSolve for the velocity at point C and describe the location of the instantaneous center of zero velocity of member BC. (at point B, at support A, at point C, above point C?arrow_forward
- Given the image below, AB and BC are joined by a hinge in b. End A of member ASB is pin supported while end C is constrained to move along horizonal surface. Whatis the location of the instantaneous center of zero velocity of member BC if Member AB rotates clockwise at a constate rate of 3rad/s?arrow_forwardThis is a dynamics question. Hint: vC=2.5 ft/s left, vE=7.91 ft/s, theta=18.4 deg from -y-axisarrow_forwardIf a rigid body has a non-zero angular velocity, its instantaneous center of zero velocity will always be in physical contact with the rigid body itself. True Falsearrow_forward
- A Ferris Wheel, with radius 50 ft., turns counterclockwise one revolution every 18 seconds. Bryce stands at a point 120 ft. from the base of the wheel on the “upward motion” side and off to one side at an angle of 20°. The wind is blowing toward the Ferris Wheel, essentially into Bryce’s face, at an angle 30° to the base of the wheel. This wind results in an acceleration of 12 ft/s2 . At the instant Susan is at point A (3 o’clock on the wheel), Bryce throws a ball at the Ferris Wheel, releasing it from the same height as the bottom of the wheel. If the ball’s initial speed is 110 ft/sec and it is released at an angle of 60° with the horizontal, does Susan have a chance to catch the ball? Explain why/why notarrow_forwardCollars A and B are attached by a rod of length 30 cm, as shown below. The joint at A is a ball-and-socket and at B a pin joint. Collar A moves in the z direction, while the guide bar for collar B is on xy plane. At the instant shown, collar A is at a height of 24 cm and collar B is moving with a speed of 3 m/s towards the x axis. Find the (a) angular velocity of the rod, and (b) the sliding of collar B. Use the image attached to solve the questionarrow_forwardThe rotor of a gas turbine is rotating of 12 rad/s when the turbine is shut down. It is observed that 4 min is required for the rotor to coast to rest. Assuming uniformly accelerated motion, determine the number of revolutions that the rotor executes before coming to restarrow_forward
- Two masses A and B are attached to a shaft and revolve in the same plane. The masses are 12 kg and 10 kg, respectively and their radii of rotations are 40 mm, and 50 mm. The angular position of the mass B,is 150° from the mass A. Find the magnitude and position of the balancing mass at a radius of 100 mm.arrow_forwardA slender rod is bent to form a square frame of side 6 in. The frame is attached by a collar at A to a vertical shaft that rotates with a constant angular velocity w. Determine the value of w for which line AB forms an angle β = 48° with the horizontal axis.arrow_forwardAn airplane is moving due west at a speed of 100 mi/hr. The propeller blades is 5 ft. long (radius of blades rotation) and turning 1800 RPM clockwise when viewed from the front. Determine: (a) the propeller velocity at the instant when it is vertically above the axis of propellers rotation, (in ft/sec.) and (b) the magnitude and position of the vector resultant of the propellers. (ft/sec. and degrees).arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY