can u give detail for calculation please, some calculations I stuck
can u give detail for calculation please, some calculations I stuck
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
Related questions
Question
can u give detail for calculation please, some calculations I stuck

Transcribed Image Text:/2ga sin 0
i.c.
angular velocity, w =
k + a²
do
Angular acceleration
dt
do
do
OP
2ga
do
dt
(2ga sin 0\-
12 + a²
(2ga sin 6'
k² + a² /½
= }.x
cos 0 x
12 + a²
gа cos 0
k² + a²
`R
C.F.
ng
b) When the plank has turned through an angle as in the above Figure, the force
acting along the plank is the sum of the centrifugal force and the com-
ponent of the weight parallel to the plank.
i.e.
tangential force, F = mo²a + mg sin a
2ga sin a
= m.-
a + mg sin a
1:2 + a²
1:2 + 3a?
= mg sin a.
k2 + a?
The normal reaction, R, is given by
do
Ra = I
dt
mk2 ga cos a
* 1:² + a²
k* cos a
i.e.
R= mg
1k² + a²
mg sin a
F
k2 + 3a*
k² + a²
k2 + 3a?
tan a
R
k2 cos a
mg
7:2 + a²

Transcribed Image Text:Figure Q7 shows a uniform plank, rests upon a horizontal bench with one end of the bar
projecting over the sharp edge of the bench, the bar being at right angles to this edge. The plank
is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is
then released. The plank rotates about the edge and then slides down.
(a)
Determine the angular velocity and angular acceleration of the plank after it has
turned through an angle O degrees assuming that no sliding has taken place.
(b)
If the sliding begins when the plank has tuned through an angle a, show that the
coefficient of friction, u , is
[(k? + 3a?)
------------- tan a.
k?
where k is the radius of gyration of the plank about its centre of gravity.
a
Figure Q7, A uniform plank resting upon a horizontal bench.
Solution
(a) When the plank has rotated through an angle 0,
loss in P.E. = gain in K.E.
m(k² + a²)w2
|3D
i.e.
mga sin 0
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!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

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.Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY