(a)
(b)
HW 5.7. A rod of length 20.0 cm has linear density (mass per unit length) given by 1 = 40.0 + 10.0 x, where x is the di...
HW 5.7. A rod of length 20.0 cm has linear density (mass per unit length) given by A = 40.0 10.0x, where r is the distance from one end, measured in meters, and A is in grams/meter. (a) What is the mass of the rod? (b) How far from the r 0 end is its center of mass?
A rod of length 30.0 cm has linear density (mass per length) given by: d = 50.0 20.0 x where x is the distance from one end, measured in meters and A is in kg/meter. (a) What is the mass of the rod? (b) How far from the x-0 end is its center of mass?
A rod of length 1.00 m has linear density (mass per unit length) given by λ = (40.0 kg/m) + (80.0 kg/m2)x where x is the distance from one end. (a) What is its mass? (b) How far from the x = 0 end is its center of mass?
7. + -/2 points Nonuniform Rod A 34 cm rod has a linear density (mass per unit length) of 2(x) = 45 g/m + 17 g/m2 x where x is the distance along the rod from one of its ends. (a) What is the mass of the rod? (b) How far from the x = 0 end is the center of mass?
A long thin rod of length 2.0 m has a linear density λ(x) = Ax where x is the distance from the left end of the rod and A=3.0 kg/m. What is the mass (in kg) of the rod ?
P10. Consider a charged rod of length L that has a nonuniform charge density given by λ =入 sin-, where s is measured from the center of the rod. Let L = 12 cm, and λ,-15 nC/cm. Calculate the electric field a distance L past the positive end of the rod TS
where λ is the charge density per unit length on the rod and εο is called the permittivity of free space (it is a universal constant with the value 8.854 x 10-12 F/m (farads per metre)) The integral for the electric field can be evaluated exactly using a method called trigonometric substitution with the result AL We won't learn the method of trigonometric substitution in this course; however, you will approximate the value of the integral using methods we introduced...
4. A non-uniform rod has total mass M and length L with mass density a=Br", where x is measured from the end and b is an unknown constant. The rod is rotating about the center at 0... What is the angular momentum of the rod? (Knowns are M, L, and 0.) y pivot
J. Given a linear mass density of A(L - x)?, find the mass and center of mass from the left end of a thin rod of length L.
Given a linear mass density of A(L-x), find the mass and center of mass from the left end of a thin rod of length L J.