Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure ). The (x,y) coordinates of the centre of mass will be:

 

 

 

  • Option 1)

    \left [ \frac{\sqrt{3}}{4}m,\frac{5}{12}m \right ]

  • Option 2)

    \left [ \frac{7}{12}m,\frac{\sqrt{3}}{8}m \right ]

  • Option 3)

    \left [ \frac{7}{12}m, \frac{\sqrt{3}}{4} m\right ]

  • Option 4)

    \left [ \frac{\sqrt{3}}{8}m, \frac{7}{12} m\right ]

 

Answers (1)

X_{cm}=\frac{50\times 0+100\times 1+150\times \frac{1}{2}}{50+100+150}=\frac{175}{300}=\frac{7}{12}cm

Y_{cm}=\frac{50\times 0+100\times 0+150\times \frac{\sqrt{3}}{2}}{50+100+150}=\frac{\sqrt{3}}{4}cm

 


Option 1)

\left [ \frac{\sqrt{3}}{4}m,\frac{5}{12}m \right ]

Option 2)

\left [ \frac{7}{12}m,\frac{\sqrt{3}}{8}m \right ]

Option 3)

\left [ \frac{7}{12}m, \frac{\sqrt{3}}{4} m\right ]

Option 4)

\left [ \frac{\sqrt{3}}{8}m, \frac{7}{12} m\right ]

Most Viewed Questions

Preparation Products

Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout JEE Main (One Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 2999/- ₹ 1999/-
Buy Now
Knockout JEE Main (Twelve Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 19999/- ₹ 14499/-
Buy Now
Knockout JEE Main (Eight Months Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 15999/- ₹ 12499/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions