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

A block of mass m rests on a rough horizontal surface as shown in the figure. Coefficient of friction between the block and the surface is μ. A force F=mg acting at angle θ with the vertical side of the block pulls it. In which of the following cases can the block be pulled along the surface?

A
tanθμ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
cotθμ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
tanθ2μ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
cotθ2μ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D cotθ2μ
It is clear from the figure that vertical component of force will decrease the normal reaction, i.e., N=mgmgcosθ

and frictional force =μN
=μ(mgmgcosθ)
Now block can be pulled when, horizontal component of force frictional force
i.e., mgsinθμ(mgmgcosθ)
or 2sinθ2cosθ2μ(1cosθ)
or 2sinθ2cosθ22μsin2θ2
or cotθ2μ
Hence, the correct answer is option (d).

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Friction: A Quantitative Picture
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon