Problem Set 3

Problem Set 3 - Problem Set III Fall 2006 Physics 200a...

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Problem Set III Fall 2006 Physics 200a Figures at the end R. Shankar Many problems ask for answers in terms of symbols and not numbers. You may need to invoke things like g in the answer even if I did not explicitly define them. 1. Here is a problem from string theory for those of you seeking challenges. An object of mass m is hanging from two taut strings as shown in the figure (1). Find an expression for the tensions T 1 and T 2 on the two strings. Give the numerical values when m = 10 kg , a = π/ 6 and b = π/ 3. 2. A block of mass m sits atop a mass M which rests on a frictionless table. The mass M is connected to a spring of force constant k attached to the wall. (i) How far can mass M be pulled so that upon release, the upper mass m does not slip off? The coefficient of friction between the two masses is μ . (ii) Repeat if μ 0 is the coefficient of friction between M and the table. See Figure (2). 3. A car moving at 70 km/h collides rams into an immobile steel wall. Its front of the is compressed by 0 . 94 m . What average force must a seat belt exert in order to restrain a 75-kg passenger? 4. A 7.2-kg mass is hanging from the ceiling of an elevator by a spring of spring constant
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Problem Set 3 - Problem Set III Fall 2006 Physics 200a...

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