The disk rotates about the shaft S, while the shaft is turning about the z axis ata rate of w₂ = 6 rad/s, which is increasing at a = 2.5 rad/s². No slippingoccurs. (Figure 1)FigureB0.1 mStiff830.5 m0.1 m1 of 1Part ADetermine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation.Express your answers using three significant figures separated by commas.(VB)z, (UB)y, (UB)₂ = (0,6,0)Submit17 ΑΣΦ ↓↑Part BPrevious Answers Request AnswerX Incorrect; Try Again; 5 attempts remaining(aв)z, (aв)y, (aB)₂ =vecSubmit Request AnswerDetermine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.Express your answers using three significant figures separated by commas.?A vecm/s?m/s²

To Find : The component x,y and z of velocity at point B The component x,y and z of acceleration at point B Given :The angular velocity at z axis is The angular acceleration is Calculation :From figure disc rotate with no slipping,The angular velocity can be obtained as,The velocity at point V can be obtained as,The component are b) The angular acceleration can be obtained as,Here is the angular accelration of disc with respect to shaft The tangential acceleration can be obtained as, The radial acceleration can be obtained as, The acceleration of point C is, The corolli's acceleration can be obtained as, The x,y and z component of acceleration is, The component x,y and z of velocity at point B is The component x,y and z of acceleration at point B is,

Answered: The disk rotates about the shaft S,…

Engineering

Mechanical Engineering

The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w₂ = 6 rad/s, which is increasing at a = 2.5 rad/s². No slipping occurs. (Figure 1)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: There are two adjacent gears A and B, with 23 and 42 teeth respectively. Initially, both gears are…

A: Given:Gear A rotates clockwise initially and gear B rotates counterclockwise , and consider the…

Q: A=3 rad/s 5 in. 4 in. 30º 8 in.

A: Given,

Q: In the figure below there is one larger disc centred in O of radius 10 cm, a smaller disc centred in…

Q: The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable…

Q: The gear A on the drive shaft of the outboard motor has a radius TA = 0.7 in. and the meshed pinion…

A: Angular velocity of propeller in t= 1.7 sec.

Q: Gear 2: N2 = 25 teeth and Pd = 20 per in Gear 3: d3 = 3.5 in Gear 4: N4 = 28 teeth Gear 5: d5 = 4…

Q: @g=1.6 rad/s 200 1000 30° 400 Dimensions in mm

A: Given,

Q: points B and C and the angular velocities of links AB, BQ and BC.

Q: The wheel in the figure below rolls without slipping with the constant clockwise angular velocity…

A: Given Data as below: Angular Velocity ω0 = 1.6 rad/s and given the mechanism as shown below: To…

Q: At the instant shown, 0 = 60°, and rod AB is subjected to a deceleration a = 15 m/s² when the…

Q: . In the mechanism shown in the figure, OA=0\B=00;= L, rod O,B rotates with uniform w. At the moment…

Q: 12. The gear A on the drive shaft of the outboard motor has a radius r = 0.5 in. and the meshed…

Q: 3. Find the velocity of point C if the object below rotates about the line AB (A and B are fixed…

Q: The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable…

A: Given data as per the question vA=0.7 ms

Q: A B BIA 30 disk: radius = r = 0.350m r BIA = 0,300m rod : length = L: (6) the velocity V of end D…

A: Given: Radius of the disc→r=0.35 m Distance between A and B→rB/A=0.30 m Length of the rod→L=0.90 m…

Q: Disk A rotates around the vertical z-axis with a constant angular velocity ω = dθ/dt = π/3 rad/s. At…

A: Step 1:To calculate the magnitude of the total acceleration vector a of point P at t=0.5 seconds, we…

Q: The length of link OB is 325 mm and it is rotating about fixed axis O at a speed of 116 rev/min.…

Q: t. 16-77. The planetary gear system is used in an automatic transmission for an automobile. By…

Q: In the image on the right, there is a red gear G1 on the left with a radius of r1 = 2.81cm. Gear G1…

Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

The disk rotates about the shaft S, while the shaft is turning about the z axis at
a rate of w₂ = 6 rad/s, which is increasing at a = 2.5 rad/s². No slipping
occurs. (Figure 1)
Figure
B
0.1 m
S
tiff
83
0.5 m
0.1 m
1 of 1
Part A
Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation.
Express your answers using three significant figures separated by commas.
(VB)z, (UB)y, (UB)₂ = (0,6,0)
Submit
17 ΑΣΦ ↓↑
Part B
Previous Answers Request Answer
X Incorrect; Try Again; 5 attempts remaining
(aв)z, (aв)y, (aB)₂ =
vec
Submit Request Answer
Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.
Express your answers using three significant figures separated by commas.
?
A vec
m/s
?
m/s²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Step 1

VIEW

Step 2: Step 2

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions

A variable torque is applied to a rotating wheel at time t = 0 and causes the clockwise angular acceler- ation to increase linearly with the clockwise angular displacement 0 of the wheel during the next 30 revo- lutions. When the wheel has turned the additional 30 revolutions, its angular velocity is 90 rad/s. Deter- mine its angular velocity wo at the start of the inter- val at t = 0.
Can I please get a step by step explanation for this question. Thank you
Gear A on the drive shaft of the outboard motor has a radius ra=9 in. and the meshed pinion gear B on the propeller shaft has a radius rg-53 in. The point P is located on the propeller's tip at a distance 4 in. from the neutral axis of the propeller's shaft. نند P B At the beginning of the propulsion, the drive shaft rotates with an angular acceleration a = A. t 2.0 rad.s2 where t is in seconds. what must be the value of A to have, while starting from rest, vp=24 in.s¹¹ in 6 seconds ?
Determine the velocity of rod R for 0 = T/2 rad in the cam Cif the cam rotates with a constant angular velocity w = 10 rad/s. The pin connection at o does not cause an interference with the motion of A on C. Enter the velocity of R in m/s in the box below. Assume positive to the left, as shown in the figure. ri =1 m, r2 = 0.15 m. Enter the answer in m/s in the box below. C
(Three-Dimensional Motion) The figure below represents a pair of bevel gears A and B. Gear A rotates in ahorizontal plane about a vertical axis at O. Gear B rotates around the shaft OC which in turn rotates about the terminal axis at O. determine the angular accelera tion of gear B when gear A is stationary and member OC has an angular velocity of 10j rad/sec and and angular acceleration of 25j rad/sec2 .
Determine the velocity of rod R for 0 T/2 rad in the cam C if the cam rotates with a constant angular velocity w = 10 rad/s . The pin connection at O does not cause an interference with the motion of A on C. Enter the velocity of R in m/s in the box below. Assume positive to the left, as shown in the figure. ri = 1 m, r2 = 0.15 m. Enter the answer in m/s in the box below. C www R
Gear 2: N2 = 25 teeth and Pd = 20 per in Gear 3: d3 = 3.5 in Gear 4: N4 = 28 teeth Gear 5: d5 = 4 in and Pd = 16 per in Gear 6: d6 = 3 in and Pd = 10 per in Gear 7: N7 = 48 teeth Determine the rotational velocity of gear 2 as gear 7 drives at 200 rev/min counterclockwise (CCW). Determine the center distance between the shafts that carry gears 2 and 7.
Please and thank
A motor (which is not shown in the figure) rotates the rod OB about the z-axis. The torque applied by the motor is given as T = 0.4 Nm. The rod OB is rotating at 3 rad/s at that instant which R = 0.4 m. And a rope attached to the slider A is let out at the constant rate of 0.25 m/s. What is the angular velocity after 10s?(Please neglect the mass of rod OB).
The following figure shows a top view of a spinning, cylindrical gyroscope wheel. The pivot is at O, and the mass of the axle is negligible. Use ?=2.9cm and ?=3cm. a. As seen from above, is the precession clockwise or counterclockwise? b. If the gyroscope precesses at 1.7 revolution per second, what is the angular speed of the wheel in revolution per minute? Insert your answer correct up to at least a third decimal place.
2. Two rigid links are rotating in the horizontal plane as shown in the figure below. The left-most link rotates with angular rate ₁ of 4 rad/s. The end of the right-most link holds a pin which is confined to move along a slot in the other link. The length of the right-most link 72 is 0.45 m. Determine the angular rate ₂ of the second link at the instant shown. Use 0₁ = 30°, 0₂ = 60°, and r₁ = 0.6 m. 0
The disk of radius r is confined to roll without slipping at A and B as shown in (Figure 1). Figure A 2v 1 of 1 Part A If the plates have the velocities shown, determine the angular velocity of the disk. Express your answer in terms of some, all, or none of the variables r and v. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. Submit VE ΑΣΦ | 11 | vec Provide Feedback Request Answer ? Next >