Particle P moves along the curved path shown. At the instant represented, r-3.9 m, 0-34%, and the velocity v makes an angle B-52°with the horizontal x-axis and has a magnitude of 4.4 m/s. If the y- and r-components of the acceleration of Pare 3.15 m/s² and -2.09m/s², respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of theacceleration of the particle. Solve graphically or analytically.Answers:P-ax14002.695-4,646pmm/s2

To find: The radius of curvature and acceleration. Given: The velocity is v=4.4 m/s. The…

Particle P moves along the curved path shown. At the instant represented, r-3.9 m, 0-34%, and the velocity v makes an angle B-52° with the horizontal x-axis and has a magnitude of 4.4 m/s. If the y-and r-components of the acceleration of Pare 3.15 m/s² and -2.09 m/s2, respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of the acceleration of the particle. Solve graphically or analytically. AU

Particle P moves along the curved path shown. At the instant represented, r-3.9 m, 0-34%, and the velocity v makes an angle B-52° with the horizontal x-axis and has a magnitude of 4.4 m/s. If the y-and r-components of the acceleration of Pare 3.15 m/s² and -2.09 m/s2, respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of the acceleration of the particle. Solve graphically or analytically. AU

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: A particle moves in a circle with a diameter of 120 cm. If its linear velocity is given by v = 4.5t…

Q: At time t = 17 s, the velocity of a particle moving in the x-y plane is v= 0.14i +2.92j m/s. By time…

Q: What are the tangential and normal components of the total force acting on the airplane (including…

Q: ag, a4, AB/A VB = 8.5 m/s VA =7 m/s B 50 m 50 m 40°

A: Given Data:-

Q: In an archery test, the acceleration of the arrow decreases linearly with distances from its initial…

Q: 4. Car A is accelerating in the direction of its motion at the rate of 4 ft/sec2. Car B is rounding…

Q: A locomotive moves along a curved track of radius R-300m with uniformly varying velocity. The length…

Q: The end rollers of bar AB are constrained to the slot shown. If roller A has a downward velocity of…

A: Given:To find:Tangential acceleration of roller B.

Q: At time t = 18 s, the velocity of a particle moving in the x-y plane is v=0.05i + 2.35j m/s. By time…

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

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

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: curvature p of the trajectory and the rate at which v is changing with time.

Q: Magnetic tape tape is in conta tangential com the total accel CCE

A: an of P1=37m/s2at of P2=43m/s2r1=117mm=0.117mr2=58mm=0.058m To-Find:- v=a1=a2=

Q: A ball (shown in red color) is constrained to move in a circular path and it is also force to move…

A: Given Data Velocity of slider is : V=0.5 m/s Angle is : θ=60°=1.0471 rad Now the magnitude of…

Q: The particle P starts from rest at point A at time t = 0 and changes its speed thereafter at a…

Q: The robot arm is elevating and extending simultaneously. At a given instant, 0 = 20°, 0 = 24 deg/s =…

Q: 16 - 12 t + 4 t2 The slotted guides in the figure move according to the relations x = and y=2+15 t -…

A: There are two types of forces that are acting on a circular surface. One type of force is Radial…

Q: At the instant shown, point B has a velocity of 3 m to the right and accelerates at Determine the…

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

Q: The x-coordinate of a particle in curvilinear motion is given by x = 5.3t3-5.1t where x is in feet…

Q: 350mm. If its angular velocity is A particle moves along a circular path of radius r= 83² where t is…

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

Q: At time t = 14 s, the velocity of a particle moving in the x-y plane is v=0.06i+2.45j m/s. By time t…

Q: Q.4: The automobile has a speed of 80 at point A and an acceleration a having a magnitude of, acting…

Q: A. Without finding T and N. write the acceleration of the motion a(t) to the position vector r(t) =…

A: Given Data: Position vector r(t)=(t2)i+(t+13t3)j+(t-13t3)k aT…

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

Q: A car travels a circular path with a 400 ft radius at a constant speed of 30 ft/s. Find the…

A: Given Data r=400 ft V=30 ft/s ***As per company policy we are supposed to do only three subparts but…

Q: y x C Ө A VA a A

A: Given System,

Q: In the chain below the main coordinate is e, determine the displacement, speed and acceleration for…

Q: y = x³/4800 Pin A is forced to move within the fixed parabolic slot by the guide with a constant…

Q: = 4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move…

Q: The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 1.9t3 - 1.7t where x is in feet…

A: Given data: The x-coordinate of a particle in curvilinear motion is given byx = 1.9t3 - 1.7t where…

Q: with a deceleration of 5 ft per sec'. If the total distance traveled is 1000 ft, find the…

Q: In the mechanism shown, the displacement, speed and acceleration of the horizontal piston are known.…

A: Write the expression of motion by considering the diagram. x2+y2=a2

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

Particle P moves along the curved path shown. At the instant represented, r-3.9 m, 0-34%, and the velocity v makes an angle B-52°
with the horizontal x-axis and has a magnitude of 4.4 m/s. If the y- and r-components of the acceleration of Pare 3.15 m/s² and -2.09
m/s², respectively, at this position, determine the corresponding radius of curvature p of the path and the x-component of the
acceleration of the particle. Solve graphically or analytically.
Answers:
P-
ax
1400
2.695
-4,646
p
m
m/s2

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 of 2.

VIEW

Step 2 of 2.

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

For the fig. below the acceleration ob block B is 6 ft/sec^2 up the incline due to action of force P. Determine the velocity and the acceleration of block A * B A 20°
Q.4: The automobile has a speed of 80 at point A and acceleration a having a magnitude of, 10 m/s' acting in the direction shown. Determine the radius of curvature of the path at point A and the tangential component of acceleration. 30 ASSAN
Point X moves in a circular path of 6-m radius so that its arc distance from an initial position Y is given by the relation s = 6t3 – 4t. Find the normal components of acceleration of the point for the instant after 1s. the answer should be 3 decimal places.
The y-coordinate of a particle in curvilinear motion is given by y = 8.3t3 - 5.4t, where y is in inches andt is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 10.6t in./sec?. If the velocity of the particle in the x-direction is 13.0 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.7 sec. Construct v and a in your solution. %3D Answers: When t = 1.7 sec, V = i in./sec a = in./sec2
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?
Thex-and y-motions of guides A and Bwith right-angle slots control the curvilinear mation of the connecting pin P. which slides in bath slots. For a short interval, the motions are governed byx- 19+0.47 and y - 19 - 0.90P. wherexand y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-23s. Sketch the direction of the path and indicate its curvature for this instant. Calculate the x- and y-components of the acceleration. Answers: mm/s? 0.94 a,- -12.42 mm/s? Calculate the x- and y-components of the velocity. Answers: 2.162 mm/s Vy" -14.283 mm/s
At the instant shown, the F-14 fighter jet has a velocity of 501 m/s and an acceleration of 42 m/s? as shown in the figure. If the angle theta is 63 degrees, determine the radius of curvature of the patl Please provide your answer to the nearest 1 m.
The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰
The x-coordinate of a particle in curvilinear motion is given by x= 1.7t³-5.6t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay - 5.7t. If the particle has y-components y = 0 and v, -4.8 ft/sec when t-0, find the magnitudes of the velocity v and acceleration a when t - 3.4 sec. Sketch the path for the first 3.4 seconds of motion, and show the velocity and acceleration vectors for t - 3.4 sec. Answers: V= am i i ft/sec ft/sec²
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 coordinate of k varies according to the relation y= 4t+5t (mm). take y=20 mm, determine (a) the velocity of k; and (b) the acceleration of k. 50 mm