The figure below shows an isosceles triangular frame ABC made out of two different materials and D is the midpoint of the side AB. The coefficient of thermal expansion of the rod ADB is 
and for the rods AC and BC is 
2 . End C is fixed and the whole system is placed on a smooth horizontal surface. When the temperature of the system increases, it is found that the distance remains fixed, then
Text Solution
Verified by ExpertsA
According to condition of the problem, height of the isosceles triangle ABC is unchanged. The dotted lines show configuration
After a temperature rise. Increase in length of rod AB,
Thus 
We draw a normal from A to 
(the final length of AC). Increase in length of AC is 
Considering increase in angle 
to be very small.
Where 
Thus, we have 
Hence 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems