An isosceles triangle is to be cut from one edge of a square lamina such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position. The value of h is ?

Question

Ashutosh gaurav · Answer

Let M be the mass of square.Mass per unit area=M÷(l×l).Mass of isosceles triangle=M÷(l×l)×(1÷2×l×h).Set origin at apex P.y of com =0=M×(l÷2-h)-M÷(l×l)×(1÷2×l×h)×(-2÷3×h).On solving the quadratic equation obtained,h=(3+or-root 3)÷2Since h cannot be >l.Thus h=(3-root 3)÷2.

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

An isosceles triangle is to be cut from one edge of a square lamina such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position. The value of h is ?

An isosceles triangle is to be cut from one edge of a square lamina such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position. The value of h is ?

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

An isosceles triangle is to be cut from one edge of a square lamina such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position. The value of h is ?

An isosceles triangle is to be cut from one edge of a square lamina such that the remaining portion when suspended from the apex P of the cut will remain in equilibrium in any position. The value of h is ?

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship