QUESTIONS 1. Consider the digital scale and the two pan balance. The digital sca

Question

QUESTIONS 1. Consider the digital scale and the two pan balance. The digital scale has a spring, calibrated f Earth, behind the or dial. This spring exerts a force that allows accurate measurement of mass. The alance uses only the principles of torque, which you investigated in this experiment. If the digit mass of a particular object, will either the balance or the digital scale accurately measure the object's mass? Explain your reasoning for both devices. alculate the percentage difference between the two determinations of the 100 cm stick mass: the measured mass from Procedure Step 7 and the calculated mass from Procedure Step 15. Do the data agree sufficiently well enough to verify the theory? In a scenario where the angle of applied force is not 90" to the lever arm, consider the following as a practical safety application of rotational equilibrium: al scale and the two pan balance were taken to the Moon and used to measure the 2. C 3. A ladder (5 m long, weighing 200 N) rests on a wall. The ladder is tilted such that its center of mass is 3 m vertically above the ground. There is no friction on the wall, but there is a coefficient of static friction along of the ground of 0.3. How far along the ladder can a 750 N person safely climb above the ground and how high vertically above the ground would this person be?

Explanation / Answer

(1)

The spring force exerted by the digital clock depends on the weight of the object. The digital clock scale is calibrated on the earth. As we know that a body weighs less on moon as compared to earth. As such, the force of the spring of the digital clock will be less on moon as compared to earth for an object of same mass. Thus, the digital clock will not give the accurate mass on moon rather it will give smaller masses.

The two pan balance will give accurate mass as the pan balance physics of measuring mass depends on the static equilibrium condition of zero torque about the centered pivot point. Suppose the length of the central beam is L and the pivot point is at L/2. Then the torque due to the two weights in two pans are equal (= mgmoonL/2) only if both masses are equal.

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