B58 The end X of a uniform éylindricalrod XY is clamped in a fixed horizontal position. The free end Y is depressed under the action of the weight of the rod by a small amount d. The rod projects a distance /from the point of clamping X. The depression d is found to 'be directly proportional to the ratio g/A where'g is the acceleration due to gravity and A the cross- sectional area of the rod. Also, d depends on / and the density p and the Young modulus E of the material of the rod. Use the method of dimensious to determine how d might depend on l, p and E. How would you show experimentally the way in which d varies with the length and radius of the rod? (0 & C*)

B58 The end X of a uniform éylindricalrod XY is clamped in a fixed horizontal position. The free end Y is depressed under the action of the weight of the rod by a small amount d. The rod projects a distance /from the point of clamping X. The depression d is found to 'be directly proportional to the ratio g/A where'g is the acceleration due to gravity and A the cross- sectional area of the rod. Also, d depends on / and the density p and the Young modulus E of the material of the rod. Use the method of dimensious to determine how d might depend on l, p and E. How would you show experimentally the way in which d varies with the length and radius of the rod? (0 & C*)