Torsional Pendulum Intro

Q. A triangular set square of angle ${30}^{\circ },{60}^{\circ }$ and ${90}^{\circ }$ and of negligible mass is suspended freely from the right-angle corner and weights are hung at the two corners. If the hypotenuse of the set square adjust horizontally, then the ratio of the weights $\frac{W_1}{W_2}$ is $1:n$. The value of n is (integer only)

Q. Equal torsional torques act on two rods $x$ and $y$ having equal length. The diameter of rod $y$ is twice the diameter of rod $x$. If ${\theta }_x$ and ${\theta }_y$ are the angle of twist, then $\frac{{\theta }_x}{{\theta }_y}=$

Q. A shaft is fixed at one end and free at another end. It carries uniformly distributed torque (t kN - m/m) as shown in the figure. The shaft is prismatic and have constant GJ. The angle of twist at the free end is:

1. $\frac{t{L}^2}{8GJ}$
2. $\frac{t{L}^2}{2GJ}$
3. $\frac{3t{L}^2}{8GJ}$
4. None of these

Q. The distance of the moon from the earth is about 60 times the radius of the earth. What will be diameter of the earth (approximately in degrees) as seen from the moon.?

1. $2^o$.
2. $6^o$.
3. $1^o$.
4. $4^o$.

Q. Equal torsional torques act on two rods $x$ and $y$ having equal length. The diameter of rod $y$ is twice the diameter of rod $x$. If ${\theta }_x$ and ${\theta }_y$ are the angle of twist, then $\frac{{\theta }_x}{{\theta }_y}=$

Q. Equal torsional torques act on two rods $x$ and $y$ having equal length. The diameter of rod $y$ is twice the diameter of rod $x$. If ${\theta }_x$ and ${\theta }_y$ are the angle of twist, then $\frac{{\theta }_x}{{\theta }_y}=$

Q. Equal torsional torques act on two rods $x$ and $y$ having equal length. The diameter of rod $y$ is twice the diameter of rod $x$. If ${\theta }_x$ and ${\theta }_y$ are the angle of twist, then $\frac{{\theta }_x}{{\theta }_y}=$