AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Two blocks of masses 1 kg and 0.75 kg are attached through a massless string fixed on a triangular wedge
$\large {\mu _1} = \frac{1}{{\sqrt 3 }}{\text{ }}and{\text{ }}{\mu _2} = \frac{2}{{\sqrt 3 }}$
Which of the following is correct?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

System is in equilibrium

Block of mass 1 kg moves upward with acceleration 3.14 m/s²

Block of mass 1 kg moves downward with acceleration 3.13 m/s²

Both block moves with same acceleration 3 m/s²

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

= \frac{1}{{\sqrt 3 }} \times 1 \times 10 \times \frac{1}{2} = \frac{5}{{\sqrt 3 }} = \frac{5}{{1.7}} \equiv 3\,

= 1 \times 10 \times \frac{{\sqrt 3 }}{2} = 5\sqrt 3 = 5 \times 1.73 = 8.6

So\;body\;{f_{{L_2}}} = \mu mg\cos \theta

= \frac{{\cancel{2}}}{{\sqrt {\cancel{3}} }} \times \frac{3}{4} \times 10 \times \frac{{\sqrt {\cancel{3}} }}{{\cancel{2}}} = 7.5\;N

{(mg\sin \theta )_2} = \frac{3}{4} \times 10 \times \frac{1}{2} = \frac{{30}}{8} = 3.75\;N

clearly system tries to move left side downward.

The net driving force acting on the system due to gravity = (8.6 - 3.75) N = 4.85 N

Net frictional force which opposes the tendency of sliding = (3 + 7.5) N = 10.5 N

Hence, the system will be in equilibrium.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!