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Q # 1 A metal wire of diameter D stretches by 0.100mm when supporting a weight W

ID: 1697686 • Letter: Q

Question

Q # 1

A metal wire of diameter D stretches by 0.100mm when supporting a weight W. if the same length wire is used to support a weight W. if the same length wire is used to support a weight three times as heavy, what would its diameter have to be (in terms of D) so it still stretches only 0.100mm?                                                                              Marks = 7

Q # 2

If a metal wire has its length doubled and its diameter tripled, by what factor does its Young ‘modulus change?                                                                                    Marks = 7

Q # 3

If a uniform spring is cut in half, what is the force constant of each half? Justify your answer. How would the frequency of SHM using a half-spring differ from the frequency using the same mass and the entire energy?                                                        Marks = 6

Explanation / Answer

The net force on the light is

2Tsin45 = W

2 T *0.707 = W

T = W/1.414 is the tension in the cable