wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A force of 100 N needs to be applied parallel to a smooth inclined plane just to hold a body on it. The angle of inclination of the inclined plane is 30. How much horizontal force needs to be applied to do the same?


A

50 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

87 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

100 N

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

115 N

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

115 N


Lets draw the diagram and see what's happening.

Free Body Diagram of block

Body at equilibrium taking components along and perpendicular and equating net force to 0 we get

fx=0 fy=0

fx=0

100mg sin 30=0

100=mg

mg2=200 ------------ (1)

New scene

A force is being applied horizontally and its holding block stationary (equilibrium) diagram

Free Body Diagram

Again the body is in equilibrium

fx=0 fy=0

fx=0

Ncos30mg=0

Ncos30=mg

From equation (1)

N32=200

N=4003 ------------------(2)

fx=0

FNsin 30=0

F=Nsin 30

From equation (2)

F=4003×12=2003

F=115.4N


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Water Slides in Amusement Parks
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon