=The x- and y- motions of guides A and B with right-angle slots control thecurvilinear motion of the connecting pin P, which slides in both slots. For a short intervalthe motions are governed by x = 20 + t² and y 15-¹t³, where x and y are inmillimeters and t in seconds. Calculate the magnitudes of the velocity v and accelerationa of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for thisinstant.46Ans. v= 2.24 mm/s, a = 2.06 mm/s²BJerry

Answered: Image /qna-images/answer/81a1504a-dbe5-46af-bd72-6a153e57ff4a.jpg

The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval the motions are governed by x = 20 + t² and y = 15-t³, where x and y are in millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this instant. 6 Ans. y = 2.24 mm/s. a = 2.06 mm/s²

The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval the motions are governed by x = 20 + t² and y = 15-t³, where x and y are in millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this instant. 6 Ans. y = 2.24 mm/s. a = 2.06 mm/s²

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: at the instant shown in Problem, the crankshaft AB has an angular velocity of 2000 rpm in a…

Q: In the mechanism shown in figure, link 3 is fixed on slider B so it is exactly perpendicular to link…

Q: The rotation of an element in a mechanism is managed so that the rate of change of angularvelocity…

A: Θ=λωo∗(1−e−λ.t)ω=ωo.e−λ.tα=−ωo.λ.e−λ.t Explanation:Given,∂Θ∂ω=−λIntegrating both…

Q: In the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10…

A: ω=10 rad/s R=0.5ft The Roller Slide in the ← in condition of no slip

Q: 5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with…

Q: An oil pumping rig is shown in the figure. The flexible pump rod D is fastened to the sector at E…

Q: The circular disk of 200-mm radjus rotates about the z-axis at the constant rate w₂= 25.8 rad/s, and…

Q: 4. The rotation of the arm is programmed to follow the path theta=0.2*t+0.02*t^3. The screw controls…

A: Given:The rotational path is the radial path is the time is

Q: 5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with…

Q: The rigid bars in the figure have pivots at A and B. The lengths of the bars are AB = 1 m and BC =…

A: To calculate the acceleration of point C, we need to consider both the tangential and centripetal…

Q: The rod AC can move frictionlessly through the sleeve B. The sleeve C travels frictionlessly along…

Q: 5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with…

Q: Q2/ Arm ABC acts as a brake on the wheel as shown in Fig. 2. The coefficient of static friction at B…

Q: Β • 0.5 m ω, α

A: Given system,

Q: A wagon is moving in a straight line with constant acceleration az and its kinematics is measured…

A: In X-direction, the acceleration is Fx is the force in x-direction abx=FxM-ax

Q: The telephone-cable reel is rolled down the incline by the cable leading from the upper drum and…

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

Q: 2. Q2A = 8in ; Q3B = 4in ; Q¿Qs =3.75in. The crank Q,A rotates uniformly CW at a speed of 90 rpm.…

A: There are two types of accelerations that are acting on a circular surface. One type of acceleration…

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

A: Given That y = 16 -0.57t3 We need to find. Velocity Vy at t = 2.5 sec.

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 x- and y- motions of guides A and B with right-angle slots control the
curvilinear motion of the connecting pin P, which slides in both slots. For a short interval
the motions are governed by x = 20 + t² and y 15-¹t³, where x and y are in
millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration
a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this
instant.
4
6
Ans. v= 2.24 mm/s, a = 2.06 mm/s²
B
Jerry

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 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

P
The x- and y-motions of guides A and B with right- angle slots control the curvilinear motion of the con- necting pin P, which slides in both slots. For a short interval, the motions are governed by x = 20 + and y = 15 - , where x and y are in millimeters and t is in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. Sketch the direction of the path and indicate its cur- vature for this instant. B y A
The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine is revved up, the belt speed v changes uniformly from 3.9 m/s to 5.2 m/s over a 2.6-second interval. Calculate the magnitudes of the accelerations of points P₁ and P2 halfway through this time interval. Your answer is partially correct. Camshaft sprocket Drive belt tensioner Crankshaft sprocket Answers: ap1 = ap2 = 45 mm www. i 416.055 0.5 P₁ P₂ No Intermediate sprocket m/s² m/s²
The design of a camshaft drive system of a four-cylinder automobile engine is shown. As the engine is revved-up, the belt speed v changes uniformly from 8 m/s to 22 m/s over 2.5 seconds. Calculate the magnitudes of the accelerations of points P₁ and P₂ at the end of the time interval. Camshaft sprocket Drive belt tensioner Crankshaft sprocket 60 mm Intermediate sprocket
Use general plane motion
The x- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x - 12+0.55t² and y-16-0.57t³, where x and y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-2.5 s. Sketch the direction of the path and indicate its curvature for this instant. B Part 1 A 0000 Correct Calculate the x- and y-components of the velocity. Answers: Vx mm/s Vy- mm/s 2.75 -10.6785
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- and y-motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval, the motions are governed by x - 12+0.55t² and y-16-0.57t³, where x and y are in millimeters and t is in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-2.5 s. Sketch the direction of the path and indicate its curvature for this instant. B P 1111 * Incorrect Calculate the x- and y-components of the velocity. Answers: Vx- i 11036 mm/s i 8.620 mm/s Part 1 A 0000
3. Write the kinematic equations for rectilinear motion for constant acceleration. a. b. C.
Consider two sliders connected by a rod of length L₁ + L2 moving within the perpendicular slots below. At the instant shown, the slider denoted by O' is moving downward at a constant speed of VA and the angle 0. The rod simultaneously rotates at a rate of w = 0 and with rotational acceleration a = Ö. An inertial reference frame I = {0,112,13} and a translating and rotating body frame B = {O', 6₁, 62, 63} are defined as shown. 1. Determine the scalar speed of the slider B, VB 2. Determine the magnitude of the inertial acceleration of the tip of the rod, || (ac/o)||. Write the angular acceleration and velocity using the symbols & and w in your answer. 3. Determine the angular acceleration & = Ö in terms of the variables given. b3 b VA iz bi 0 Li UB L2
the pinion A of the hoist motor drives gear B, which is attached to the hoisting drum. The load L is lifted from its rest position and acquires an upward velocity of 4ft/sec in a vertical rise of 5 ft with constant accelerations. As the load passes the position, compute the acceleration of point 6 on the cable in contract with the drum.
Parvinbhai