Question
Asked Sep 29, 2019

The homogenous cylinder of weight W and radius rests  in a groove of width 2b. Determine the smallest force P required to roll the cylinder out of the groove. Assume that there is enough friction to prevent slipping.

R
W
P
-2b
Fig. P4.170
help_outline

Image Transcriptionclose

R W P -2b Fig. P4.170

fullscreen
check_circleExpert Solution
Step 1

The following information has been provided

The homogeneous cylinder of weight W and radius R rests in a groove

of width 2b. Assume that there is enough friction to prevent slipping.

 To find: The smallest force P required to roll the cylinder out of

the groove.

R
W
2b -
help_outline

Image Transcriptionclose

R W 2b -

fullscreen
Step 2

The following diagram will explain the essential force system required

R
P
W
(R-X)
help_outline

Image Transcriptionclose

R P W (R-X)

fullscreen
Step 3

For calculating the minimum force that will roll out the wheel from the groove can be calculated by finding out...

Sum of moments at point P. M2 = 0
Counterclockwise moments Clockwisemoments
Counterclockwise moment = Wxb
Clockwise moment Px(R- height less than PQ)
As, R height less than PQ X
Clockwise moment=Px(X)
Substituting the values, we get
Wxb PxX
W b
P =
X
X R
W b
P =
R
help_outline

Image Transcriptionclose

Sum of moments at point P. M2 = 0 Counterclockwise moments Clockwisemoments Counterclockwise moment = Wxb Clockwise moment Px(R- height less than PQ) As, R height less than PQ X Clockwise moment=Px(X) Substituting the values, we get Wxb PxX W b P = X X R W b P = R

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Engineering

Civil Engineering

Related Civil Engineering Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: subject : Geotechnical Design Book : PRINCIPLE OF FOUNDATION ENGINEERING

A: We are given the following data 

question_answer

Q: subject: Geotechnical Engineeringbook: principle of foundation engineering - Braja M Das

A: Given:

question_answer

Q: P 7.13 The horizontal force P acts on the rim of the homogeneous cylinder of radius R and weight W. ...

A: Show the free body diagram of the cylinder as shown below:

question_answer

Q: 3.25 In a site consisting entirely of clays, an electric friction cone penetrometer measures the con...

A: We have been given the following information,Cone resistance qc = 0.75MN/m2 at a depth of 8m.Water t...

question_answer

Q: Surveying Question: The first line (AB) of a portion of a property boundary (ABCDE) has an azimuth o...

A: Sketch the property boundary using given azimuths.

question_answer

Q: the beam has a roof with a slope of 40mm/m. it is located in an open field where the ground snow loa...

A: Given data: Ground snow load (Pg) = 1.5KN/m2                                       Slope of roof ( θ...

question_answer

Q: A building wall consists of 12-in clay brick and 1/2-in. Fiberboard on one side. If the wall is 10 f...

A: Take minimumTake minimum design dead load for 12 in. clay brick as 115 lb/ft2. Determine the dead lo...

question_answer

Q: Fluid mechanics question. As shown, a round viewing window of diameter, D=0.8m is situated in a larg...

A: For an inclined plane as shown in below figure, equation for the calculation of hydrostatic force is...

question_answer

Q: 8.129 The rectangular plate is subjected to the pressure P Po-cos 2b Determine the resultant force o...

A: It is required to calculate the resultant force of pressure and co-ordinates of point of application...