The car A has a forward speed of 17 km/h and is accelerating at 3.0 m/s?. Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate 0 = 2.5 rev/min of the Ferris wheel is constant.

The car A has a forward speed of 17 km/h and is accelerating at 3.0 m/s?. Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate 0 = 2.5 rev/min of the Ferris wheel is constant.

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: The car A has a forward speed of 25 km/h and is accelerating at 2.6 m/s2. Determine the velocity and…

Q: Write the vector expression for the acceleration a of the mass center G of the simple pendulum in…

Q: A are both in the horizontal position shown. - 3.1 m- 3.44 m E 0.93 m 1 02

A: Speed=1.0revolutionTime t=2.6sTo-Find:-aD=..................m/s2

Q: The given system consists of A, B and C gears. Since gear A rotates clockwise at a constant speed of…

A: The ratio of teeth on the gear to the teeth on the pinion is termed as gear ratio. It is also…

Q: The link OC rotates counterclockwise with a constant angular velocity of 15 rad/s within a limited…

A: We have to determine as for given above question

Q: The crane has a boom of length OP= 21 m and is revolving about the vertical axis at the constant…

A: The length of crane is The angular velocity about vertical axis is The beam is lowered at rate .The…

Q: The small collar A is sliding on the bent bar with constant speed u = 0.25 m/s relative to the bar…

Q: = The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O…

A: Given : r = 200 ĵ mm = 0.2 ĵ m ω = 15 k̂ rad/s when Silder is at O θ̇̇ = 14 k̂ rad/s

Q: Slider 1 is moving downward at a speed of 1 = 2 m/s and with a downward acceleration of a = 0,25 m/s…

A: Dear StudentsAll the solution given in below steps

Q: The pinball machine paddle, P, pushes the pinball which weighs 0.7 N along the slot shown. This…

Q: The motion of A is controlled by the hydraulic cylinder. As A moves to the right, there are two…

A: The velocity of A is The acceleration of A is

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: The speed of a car increases uniformly with time from 65 km/h at A to 115 km/h at B during 19…

Q: Solve by scalar method. The velocity and acceleration of the belt running between motor A and…

Q: Write the vector expression for the acceleration a of the mass center G of the simple pendulum in…

Q: The speed of a car increases uniformly with time from 38 km/h at A to 91 km/h at B during 16…

A: Speed of a car increases uniformlySpeed at A = 38 km/h VA = 38 × 5/18 = 10.55556 m/sSpeed at B = 91…

Q: The wheel starts from rest with an angular velocity of @= 0.20², 0 is in radian. Determine the…

Q: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

Q: The slender bar is moving in general plane motion with the indicated linear and angular properties.…

Q: 2 and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to…

Q: When the mechanism is in the position shown, the velocity of the sliding collar is VA = 1.6 m/s, and…

A: Data given-

Q: At a given instance, the fan shown below has an angular motion w₁ = 0.6 rad/s about the z-axis,…

A: Find the magnitude of blade's angular acceleration.

Q: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

A: Angular velocity is calculated incorrect.

Q: The car A has a forward speed of 21 km/h and is accelerating at 3.2 m/s2. Determine the velocity and…

A: Given data: ◆ The velocity of car : VA = 21 km/hr ◆ The acceleration of car: aA = 3.2 m/s2 ◆ The…

Q: The small collar A is sliding on the bent bar with speed u = 2m/s relative to the bar as shown…

Q: The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine…

Q: Initially the blades of a two-blade horizontal axis wind turbine are turning at angular velocity of…

A: The objective of this question is to determine the distance travelled by point P at the tip of the…

Q: When the speed reached 120 km/h, the car entered a curved road of radius 150 m. The brakes are…

Q: Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 31 mm/s…

A: The stepwise procedure to solve this problem is shown in the following attached image:

Q: 4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1…

A: Find the magnitude of acceleration of the bucket.

Q: The boom OAB pivots about point O, while section AB simultaneously extends from within section OA.…

Q: Write the vector expression for the acceleration a of the mass center G of the simple pendulum in…

Q: A football player releases a ball with the initial conditions shown in the figure. Determine the…

Q: The speed of a car increases uniformly with time from 48 km/h at A to 107 km/h at B during 13…

A: The speed of car at A, u = 48 km/h = 13.333 m/sThe speed of car at B, v = 107 km/h = 29.722 m/sThe…

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

Q: For the electric saw shown in the figure, the saw can slide left and right on the horizontal bed…

Q: The cars on the amusement-park ride rotate around the axle at A with a constant angular velocity…

A: The angular velocity frame is .The angular velocity of axle is .

Q: the velocity and total acceleration of the point 0.3 meter from the center of Disk E, as shown, at…

A: ω1=0.13t3+3.32t2rad/s0.3m from the center of Disk…

Q: m/s and an acceleration ap At the instant shown, the paper is being unrolled with a speed, vp = 7.5…

Q: An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant…

A: Given : Angle, θ= 25 Velocity of C, vc = 20 m/s Angular acceleration of C, αc=45rad/s2 To find :…

Q: An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant…

A: Given: Angle, θ=30 Velocity of C, νc=16 m/s Angular acceleration of C, αc=40 rad/s2 To find : X -…

Q: An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant…

A: Given : Angle, θ= 45 Velocity of C, vc = 15 m/s Angular acceleration of C, αc=50rad/s2 To find :…

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: Consider the portion of an excavator shown. At the instant under consideration, the hydraulic…

A: Given data: vr=6 in/sr¨=2 in/s2θ˙=14 rad/s Need to determine the velocity and acceleration of clevis…

Q: 5/7 The rectangular plate is rotating about its corner axis = 10 through O with a constant angular…

A: When an moves in radially or the circulatory motion, then the distance travelled by the object in…

Q: determine the angular velocity when θ = 1.2 radians.

A: To determine the value of spring constant 'k' and angular velocity when giventhe distance

Q: A cylinder moves outward along the spinning platform with a speed of r = (5 · t) , т where t is in…

A: (a) Calculate the radial component of velocity at t=5 s. vr=r˙=5t=55=25 m/s

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

The car A has a forward speed of 17 km/h and is accelerating at 3.0 m/s?. Determine the velocity and acceleration of the car relative to
observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate 0 = 2.5 rev/min of the Ferris wheel is constant.
2=2.5 rev/min
B
43
R = 8.3 m
%3D
Answers:
VA/B = (i
i+ i
j) m/s
3.13
1.4
aA/B =( 3.42
i+ i
0.4
j) 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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

The mass B is attached to the arm that rotates in the horizontal planeabout a pin in collar A. A motor in A keeps the angular speed of the arm constant at ˙ θ = 2.4 rad/s. Determine the velocity and acceleration of A as functions of the angle θ. Assume that vA = 0 when θ = 0. Friction and the mass of the rotating arm can be neglected.
The car A has a forward speed of 17 km/h and is accelerating at 3.9 m/s?. Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate Q = 2.7 rev/min of the Ferris wheel is constant. 2= 2.7 rev/min B 36 R = 9.5 m A. Answers: VA/B = ( i i+ i j) m/s aA/B = ( i i+ i j) m/s2 一 N
The speed of a car increases uniformly with time from 64 km/h at A to 89 km/h at B during 9 seconds. The radius of curvature of the hump at A is 41 m. If the magnitude of the total acceleration of the mass center of the car is the same at B as at A, compute the radius of curvature pg of the dip in the road at B. The mass center of the car is 0.55 m from the road. Assume PA = 41 m, h = 0.55 m. Answer: PB = i B PB 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 boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 30°, 0 = 5 deg/sec, Ö = 5 deg/sec², l = 14 ft, 1 = 1.8 ft/sec, i = -2.5 ft/sec?. The quantities l and i are the first and second time derivatives, respectively, of the length l of section AB. Express your answers as vectors in the e, and eg directions. 21' Answers: VR = (i е, + i eg) ft/sec ag = (i е, + i eg) ft/sec2
The sphere P travels in a straight line with speed v= 10.3 m/s. For the instant depicted, determine the corresponding values of r and as measured relative to the fixed Oxy coordinate system. Assume x = 6.5 m, y = 4.6 m, p = 23° Answers: r = 0 = i i P m/s rad/s
The slotted arm is pivoted at 0 and carries the slider C. The position of C in the slot is governed by the cord which is fastened at D and remains taut. The arn turns counterclockwise with a constant angular rate 8= 4 rad/sec during an interval of its motion. The length DBC of the cord equals R, which mnakes r - 0 when 8 =0. Determine the magnitude a of the acceleration of the slider at the position for which 8=30°. The distance R is 15 in. R. B.
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 14 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B.
The speed of a car increases uniformly with time from 48 km/h at A to 107 km/h at B during 13 seconds. The radius of curvature of the hump at A is 50 m. If the magnitude of the total acceleration of the mass center of the car is the same at B as at A, compute the radius of curvature pg of the dip in the road at B. The mass center of the car is 0.53 m from the road. Assume PA = 50 m, h = 0.53 m. Answer: PB = i B PB m
The cable at end B of the slender rod shown below is replaced with a linear actuator that commands end B to move toward the vertical wall with a constant speed vB = 0.01 ft/s. Determine the angular velocity and angular acceleration of the beam at the instant when end B begins to move. At this instant, B is a distance d = 10ft away from the vertical wall. Determine algebraic expressions for the angular velocity and angular acceleration of the beam at the instant when end B has moved a distance xB. Use the given notation and no numerical values. After determining the algebraic expression for computing a quantity, do not substitute the quantity with this expression in subsequent derivations. Use Matlab to compute the angular velocity and angular acceleration of the beam at every instant when end B has traveled another sB = 0.1 ft toward the vertical wall, until end A reaches the vertical wall.
At the instant θ = 40 ∘, the bottom A of the L = 13 ft ladder is slipping with velocity vA = -11 ft/s and acceleration aA = -6.5 ft/s2 . (Negative sign for: clockwise rotation, left, and down motion). Determine the velocity of end B of the ladder? Determine the ladder's angular velocity at the given instant? Determine the ladder's angular acceleration? Determine the acceleration of end B?
I need correct solution of all parts