a)If a string is 1.25 meters long and it makes 10 revolutions in 25.3 seconds on some planet, calculate the g of that planet. b)A ruler is 1.8 meters long and is being swung about a pivot point 0.2 meters from the top of the ruler. Calculate the period of rotation T. Where should the pivot point be so that the period of rotation is the most minimum that it can be and what is the minimum period? c)A solid spherical ball is 0.3 m in radius and is making simple harmonic motion about a pivot point at its edge. Calculate the period T of this sphere.Where should the pivot point be so thatthe period of rotation is the most minimum that it can be and what is Tmin? d)What is the period of rotation of the rods in problem 7 of Test 4 review sheet if they are both pivoted about their left ends? e)A solid cylindrical disk is hanging from a string whose torsional constant is 8 N-m. The mass of the disk = 2 kg and its radius is 0.2 meters. Calculate the period T of its motion. (Answers) (Please if you can use general formulas so I could solve similar problems, thank you) a) g = 7.71 m/s2 b) T = 2.091seconds, .38meters from the top, Tmin = 2.046sec c) T = 1.301seconds, .11 meters from the edge, Tmin= 1.236 sec d) They are both identical, T = 5.876 sec e) T = .44 seconds
a)If a string is 1.25 meters long and it makes 10 revolutions in 25.3 seconds on some planet, calculate the g of that planet.
b)A ruler is 1.8 meters long and is being swung about a pivot point 0.2 meters from the top of the ruler. Calculate the period of rotation T. Where should the pivot point be so that the period of rotation is the most minimum that it can be and what is the minimum period?
c)A solid spherical ball is 0.3 m in radius and is making
d)What is the period of rotation of the rods in problem 7 of Test 4 review sheet if they are both pivoted about their left ends?
e)A solid cylindrical disk is hanging from a string whose torsional constant is 8 N-m. The mass of the disk = 2 kg and its radius is 0.2 meters. Calculate the period T of its motion.
(Answers) (Please if you can use general formulas so I could solve similar problems, thank you)
a) g = 7.71 m/s2
b) T = 2.091seconds, .38meters from the top, Tmin = 2.046sec
c) T = 1.301seconds, .11 meters from the edge, Tmin= 1.236 sec
d) They are both identical, T = 5.876 sec
e) T = .44 seconds
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