Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
PROBLEM 15.139*
The wheels attached to the ends of rod AB roll along the
surfaces shown. Using the method of Section 15.4 B, derive an
expression for the angular velocity of the rod in terms of
, ,,
B
vl
θ
and
β
.
PROBLEM 15.140*
The wheels attached to the ends of rod AB roll along the
surfaces shown. Using the method of Section 15.4 B and
knowing that the acceleration of wheel B is zero, derive an
expression for the angular acceleration of the rod in terms of
, ,,
B
vl
θ
and
β
.
PROBLEM 15.141*
A disk of radius r rolls to the right with a constant velocity v. Denoting by P the point of the rim in contact
with the ground at
0,t=
derive expressions for the horizontal and vertical components of the velocity of P at
any time t.
PROBLEM 15.142*
Rod AB moves over a small wheel at C while end A moves to the
right with a constant velocity vA. Using the method of Section
15.4 B, derive expressions for the angular velocity and angular
acceleration of the rod.
PROBLEM 15.143*
Rod AB moves over a small wheel at C while end A moves to
the right with a constant velocity vA. Using the method of
Section 15.4 B, derive expressions for the horizontal and
vertical components of the velocity of Point B.
PROBLEM 15.144
Crank AB rotates with a constant clockwise angular velocity
.ω
Using the method of Section 15.4 B, derive expressions for the
angular velocity of rod BD and the velocity of the point on the rod
coinciding with Point E in terms of
,
θ
,
ω
b, and l.
PROBLEM 15.145
Crank AB rotates with a constant clockwise angular velocity
.ω
Using the method of Section 15.4 B, derive an expression for the
angular acceleration of rod BD in terms of
,
θ
,
ω
b, and l.
PROBLEM 15.146
Solve the engine system from Sample Prob. 15.15 using the methods of
Section 15.4B. Hint: Define the angle between the horizontal and the
crank AB as
θ
and derive the motion in terms of this parameter.
PROBLEM 15.147*
The position of rod AB is controlled by a disk of radius r that is attached to yoke CD.
Knowing that the yoke moves vertically upward with a constant velocity v0, derive
expression for the angular velocity and angular acceleration of rod AB.
PROBLEM 15.147* (Continued)
