15.46 The plate shown moves in the xy plane. Knowing that (VA)x= 12 in./s,=(VB)X -4 in./s, and (vc)y = −24 in./s, determine (a) the angularvelocity of the plate, (b) the velocity of point B, (c) the point of theplate with zero velocity.y4 in.2 in.↓AOVA = (VA)xi + (VA), jB2 in.Fig. P15.46VB = (VB)xi + (VB)yj6 in.Vc = (vc)xi + (vc)yjсX

6 The plate shown moves in the xy plane. Knowing that (vÃ)x= 12 in./ (VB)X = -4 in./s, and (vc)y= = -24 in./s, determine (a) the angula velocity of the plate, (b) the velocity of point B, (c) the point of th plate with zero velocity. y = (v₂) i+ (v.) i

6 The plate shown moves in the xy plane. Knowing that (vÃ)x= 12 in./ (VB)X = -4 in./s, and (vc)y= = -24 in./s, determine (a) the angula velocity of the plate, (b) the velocity of point B, (c) the point of th plate with zero velocity. y = (v₂) i+ (v.) i

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: Consider the homogeneous rectangular plate with side lengths a = 9cm and b = 5cm. At a certain…

A: Calculated speed of corner point A ( m/s). At this instant.

Q: The y-coordinate of a particle in curvilinear motion is given by y = 4.5t³-5.9t, where y is in…

A: Introduction: Curvilinear motion is the movement of an item along a curved route. Vectors can be…

Q: Point k at end of the rod as in Fig. slides along the fixed path (x-y/30), where x and y in (mm). y…

Q: Q4: A ball has been thrown and its motion can be described as curvilinear, where its horizontal…

A: Given: Horizontal component of velocity is given by, vx= (50 - 16t) m/s vertical position, y =…

Q: 0(a) The x-coordinate of a particle in curvilinear motion is given by x = 4.4t3 - 4.9t where x is in…

A: Introduction: Curvilinear motion is described as motion that happens when a particle moves along a…

Q: (b) The helicopter moves at a straight line. Find its acceleration and velocity in terms of d, B, 0…

Q: Consider the thin plate in the form of an equilateral triangle. At the instant shown, point A has an…

Q: 4. Two particles, A and B, are moving in a straight line. Take this to be the z-axis. At t = 0,…

Q: d The angular velocity of Ink AB is w = An 4.4ra (Figure-1) Part A Determine the magnitude of the…

A: The angular velocity of Ink AB is wAB = 4.4 rad/s. (Figure-1) .Part A- Deternine the magnitude of…

Q: Q2) The bent flat bar rotates about a fixed axis through point O. The angle can be found at any…

Q: A slider on a rod is actauted by a lever with a slot that is rotating at a constant angular velocity…

Q: For the ladder shown, pointBhas a velocity of V B=1.2 m/s and an acceleration aB=0.6 m/s2, both…

Q: Q1) The angular velocity of the radar gun at point O is è = 0.2 rad/s when 0-40°, and the radius of…

A: The given data: θ˙ = 0.2 rad/sθ = 40°Radius of the road = r = 500 m

Q: From the figure, the arm whose edge is point B slides in the mount A, which rotates about a…

Q: A bird is flying along the straight-line path x = 21 +7, y =t- 2,z = 1- 3t, where t is measured in…

Q: For the mechanism, shown on the figure, v-3 m/s, a, 8 m/s². AB=√2 m. Determine: a) linear velocity…

Q: 7. The mechanism shown transforms circular motion of the crank into a reciprocating motion of the…

Q: A new discovered asteroid were observed by astrophysicist. It is said to be moving along a circular…

Q: Consider the thin rectangular plate. At the instant shown, point A has an acceleration of a…

Q: h) Show that the linear acceleration vector aƑ at point F, which is the midpoint between the points…

Q: below, what is the rotation of rod AB about point A if piston b moves to the right? Moreover, what…

A: vB=7.5m/saB=18.75m/s2 To-Find:- Angular-Acceleration=?

Q: The bent rod rotates about an axis connecting points A and E. All bends in the rod are 90° angles,…

Q: (flywheel rotated about its center), The tangential acceleration at of point A is calculated to be…

Q: In the lemon planer, 8 being the main coordinate, determine the secondary velocity x' b H X y N

A: Given: To find: Secondary velocity x'

Q: The circular gear C rolls long the fixed rack below. The CenterPoint of the circular gear, point 0,…

Q: 4t +5t (mm). take y=20 mm, determine (a) the velocity of k; and (b) the acceleration of k.

Q: Part A As the cord unravels from the wheel's inner hub, the wheel is rotating at w2 rad/s at the…

Q: The velocity of A is 2 m/s in the direction shown when 0=45° and B=26.2°. a. Sketch the vector…

Q: If D rotates at angular velocity of 8rad/s clockwise and angular velocity of rod ab 5rad/s…

A: Given: Acceleration of the point A→a=19.20 m/s2 (in the direction of right side) Vertical…

Q: The rod OA rotates counterclockwise with a constant angular velocity of @-5 rad/s. Two pin-connectod…

Q: Q2) The bent flat bar rotates about a fixed axis through point O. The angle can be found at any…

Q: Rod AB rotates counterclockwise with a constant. angular velocity w 2 rad/s. The collar consists of…

Q: 9 The position vector of a particle moving in the x-y plane at time t = 3.60 s is 2.76i 3.28j m. At…

A: Givent=0.360sa→=2.76i-3.28j mt=3.62sb→=2.79i-3.33j

Q: Under the action of force P, the constant accelera- tion of block B is 3 m/s to the right. At the…

A: Given:- VB=2m/s aB=3m/s2 To find:- VB/A=? aB/A=? Vc=?

Q: disk rotate with angular speed w= 3rad/s, and is increasing with rate 0.6 rad/s. small ball A moves…

A: Give that, Angular velocity of disk, w=3 rad/secRate of increasing of speed=0.6 rad/sec,Speed of…

Q: igure (a) shows a boat that is sailing in the y-direction at 5 km/h with the wind vane indicating…

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 created or destroyed — only transformed.

Question

15.46 The plate shown moves in the xy plane. Knowing that (VA)x= 12 in./s,
=
(VB)X -4 in./s, and (vc)y = −24 in./s, determine (a) the angular
velocity of the plate, (b) the velocity of point B, (c) the point of the
plate with zero velocity.
y
4 in.
2 in.
↓
A
O
VA = (VA)xi + (VA), j
B
2 in.
Fig. P15.46
VB = (VB)xi + (VB)yj
6 in.
Vc = (vc)xi + (vc)yj
с
X

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: part (a) Calculation

VIEW

Step 3: Part(b) and part(c) Calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 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

What is the ang. velocity and acceleration of the disk when it rolls down the slope freely? Collar A slides downward along the vertical rod at a constant speed of 10 m/s, causing disk B to roll down the slope. Given raisk = 25 cm, AB = 1.5 m, and 40AB30°, determine using vector approach:: a) the absolute velocity of the disk, b) the absolute acceleration of the disk. = vdisk = -10.6287- 3.868j (m/s), a disk 123.0657 +44.7887j (m/s²)] B 20° lo
(b) The disc in Figure 3.2 has diameter 1 m and is rolling on the level ground with angular velocity 4 rad/s. Bar AB has length 1 m and is attached to the disc at A, while B slides on the ground. Determine the angular velocity of bar AB and the velocity of point B. 4 rad/s 1 m 1 m Figure 3.2
An object is made to travel along a path y = x³ and an observer sees that it is travelling horizontally at i = 24t3 " where t is in seconds. What is the magnitude and vector equation of the acceleration and velocity after half a second?
Vc=4.05 m/s. Determine the direction angle of the velocity of point C at this instant measured counterclockwise from the postive x axis. (Express answer in degrees to three significant figures)
Your answer is partially correct. The velocity of a particle moving in the x-y plane is given by (7.70i + 4.91j) m/s at time t = 7.38 s. Its average acceleration during the next 0.029 s is (3.3i + 2.6j) m/s?. Determine the velocity v of the particle at t = 7.409 s and the angle 8 between the average- acceleration vector and the velocity vector at t = 7.409 s. Answers: v = ( 7.7957 i+ 4.9754 j) m/s 5.73
I need a solution quickly
6. A ball is rotating about the origin with a constant radius of 10cm. a. For the values of 0, 0, and O shown on the figure, what are the radial (a,) and theta (a) components of the acceleration of the ball. b. What is the acceleration vector of the ball expressed in rectangular coordinates, in terms of i and j unit vectors? Y r = 10cm 10 = -40° X 0 = 4 rad/s Ö = 6 rad/s²
Imagine that the CD on the right side is rotating with a constantangular velocity of �=6 rad/s between t=0 and t=3 s. Then, at t=3 s,it is suddenly subjected to a constant angular acceleration of α=6rad/s2 for 2 seconds. Determine the number of turns for the totaltime interval from t=0 to t=5 s. (Diameter of the CD is 12 cm)
Rod AB is attached to collars at its ends by ball-and- socket joints. Collar A has a speed vA = 4 m/s. Assume the angular velocity of the rod is directed perpendicular to the rod. (Figure 1) Figure 1 of 1 2 m A B 1.5 m 1m 1.5 m
Please solve it fast
box answer
An athlete exercises his arm by raising the mass m. The shoulder joint A is stationary. The distance AB is 300 mm, and the distance BC is 400 mm. At the instant shown, wAB = 1 rad/s and wBC = 1.4 rad/s. Part A How fast is the mass m rising? (in mm/s) (Figure 1) Express your answer with the appropriate units. ? mm Um = 969 S