please use graphical instant center method
GIVEN :- THE CONFIGURATION DIAGRAM
VELOCITY OF POINT A = V= 10m/s
LENGTH OF LINK 2 = 1m
TO FIND:- ANGULAR VELOCITY OF LINK 4 AND LINK 5 AND ALSO ANGULAR VELOCITY OF LINK 4 WITH RESPECT TO LINK 2.
SOLUTION:- To solve this problem , first draw the configuration diagram to the scale and consider fixed link as link 1 .
Let the fixed link points be O1 and O2 ( link2 and fixed link joint is O1 , link 4 and fixed link joint is O2)
The velocity of point A is given , using which we can find out w2 (refer image):
V=w2*length of link 2 ,
putting values of length of link 2 and velocity , we get w2=10rad/s in counter clockwise direction ,
Now , to solve by using I center method , first we have to calculate number of I centers in this problem :-
6 links are given , so the number of I centers will be 6*(6-1)/2=15 I centers , but we need not locate them all , only the ones we require to solve the problem.
Now locate the I centers using the following steps :-
STEP 1- Since the turning pair between two links is itself the I center of those two links , so we can easily locate I12 at O1 , I23 at A , I34 at B , I14 at O2 , I45 and I56 . Now for I16 , since link 6 is a slider w.r.t the fixed link 1 , so it can be assumed to be rotating in a circle of infinite radius , hence I16 lies at infinity passing through the slider and perpendicular to the line of motion of slider .
Now to locate the I centers , draw a regular polygon of number of sides equal to links i.e. 6 , so we draw a regular hexagon and name its vertices 1,2,3,4,5 and 6.
By using kennedy's theorem which says that if three links are in relative motion then their relative I centers lie in a straight line , we can find out the remaining I centers i.e to locate I13 , it will lie on the line containing I12 and I23 , and also I34 and I14 , finding the intersection of the two lines , will give I13 . Similarly we can locate I24 , I15 and I25 .
After locating the I centers , we can easily find out angular velocity of link 4 and link 5 by using theorem of angular velocities as shown below :
1. To find the angular velocity of link 4
Velocity of I24 can be written in two ways , i.e w.r.t link 2 and also w.r.t. link 4 and by equating them , we get:
w2*(length of line segment I 24 I 12) = w4*(length of line segment I 24 I 14)
putting the values of lengths from the diagram , we get w4=4.167 rad/s
and since I 12 and I 14 lie on the same side of I 14 in the diagram (refer image) , we can say that w2 and w4 have the same direction i.e. both are in counter clockwise direction .
2. To find the angular velocity of link 5
Velocity of I 25 can be written in two ways i.e w.r.t. link 2 and also w.r.t link 5 and by equating them , we get :
w2*(length of line segment I 25 I 12) = w5 *( length of line segment I 25 I 15)
putting the values of lengths from the diagram , we get w5= 1.103 rad/s
and since I 12 and I 25 lie on the same side of I 25 in the diagram (refer image) , we can say that w2 and w5 have same sense of rotation i.e. in counterclockwise(ccw) direction.
Now to find out angular velocity of link 4 w.r.t link 2 , taking the relative angular velocity is w4 -w2 , we get -5.833 rad/s in counter clockwise i.e +5.833 in clockwise direction , i.e. link 4 is rotating clockwise w.r.t link 2 with angular speed 5.833 rad/s.
please use graphical instant center method Problem 7: Given the velocity of A is 10 m/sec...
Problem (3) The velocity of the collar C is vc 2.45 m/s at the instant shown (Link CB is horizontal at this instant) Find the angular velocity of link CB and the angular velocity of link AB at the instant shown using: 350 mm Ve 2.45 m/s a) the relative velocity equation b) the instantaneous center (IC) 45° 60°
kinematic Problem #4 [CLO 3] [25 Pts). Using Complex Numbers Method, In the mechanism shown, AB = 8 cm, CB BD 4 em. If link 4 is translating rightward with constant velocity of 5 m/sec. At an instant when 0= 45, determine: a) Distance AC and the angular position of link 2 b) The angular velocities of links 2 and 3. w c) Velocity of point D. D 3 A 03 Problem #4 [CLO 3] [25 Pts). Using Complex Numbers...
PLS HELP ME IN THIS PROBLEM! DETERMINE FIRST ALL THE INSTANT CENTERS BEFORE SOLVING THE PROBLEM. I NEED THE CORRECT ANSWERS AND SOLUTION. THANK YOU PROBLEM : After drawing the mechanism into a convenient scale to fit into the paper, determine Velocity of point B (in/sec) and angular velocity of link c rad per sec using the 'direct method,' if the circular cam a has wa = 15 rad/sec clockwise. There is a rolling contact between the cam a and...
I have been trying this problem for over 8 hours. How do I make the Matlab code for the given problem. It has to move. - Use the . You may use cif to clear the figure for the next instant of time The goal is the same as before except this time you will plot a moving 3 bar lin mechanism shown below kage. Use the L2 (k2,ya L3 The equations that govern the motion of this linkage are:...
Use Polya method to solve the problem. Prep, Plan, execute, check. Please do not respond to the question if you are not planning on using this method so I can see what you're doing. ONLY ANSWER D PLEASE!!!!! 26.37: An astronaut wishes to visit the Andromeda galaxy, making a one-way trip that will take 30.0 years in the spaceship’s frame of reference. Assume the galaxy is 2.00 million light-years away and his speed is constant. his spacecraft, which has mass...
solution is required in pseudo code please. 2 Knapsack Problem În al Knapsack problem. given n items(11-12. . . . . 1"} with weight {w1·W2. . . . . ux) and value (n 2, .., nJ, the goal is to select a combination of items such that the total value V is maximized and the total weight is less or equal to a given capacity In this question, we will consider two different ways to represent a solution to the...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...
2 Knapsack Problem In a Knapsack problem, given n items {11, I2, -.., In} with weight {wi, w2, -.., wn) and value fvi, v2, ..., vn], the goal is to select a combination of items such that the total value V is maximized and the total weight is less or equal to a given capacity W. Tt i=1 In this question, we will consider two different ways to represent a solution to the Knapsack problem using an array with size...
In a Knapsack problem, given n items {I1, I2, · · · , In} with weight {w1, w2, · · · , wn} and value {v1,v2, ···, vn}, the goal is to select a combination of items such that the total value V is maximized and the total weight is less or equal to a given capacity W . i-1 In this question, we will consider two different ways to represent a solution to the Knapsack problem using . an...
PLEASE HELP ME INPUT THIS INTO MATLAB, this is solutions manual for DESIGN of MACHINERY 5th Edition number 11-12 PROBLEM 11-12 Statement: Figure P11-5b shows a fourbar linkage and its dimensions in meters. The steel crank, coupler, and rocker have uniform cross sections of 60 mm diameter. In the instantaneous position shown, the crank 0,4 has a = -10 rad/sec and a = 10 rad/sec2. There is a honizontal force at P of F = 500 N. Find all pin...