HW 5.7. A rod of length 20.0 cm has linear density (mass per unit length) given...
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 distance from one end, measured in meters, and is in grams/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 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?
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
A long, straight metal rod has a radius of 4.60 cm and a charge per unit length of 39.8 nC/m. Find the electric field at the following distances from the axis of the rod, where distances are measured perpendicular to the rod's axis. (a) 2.50 cm (b) 20.0 cm (c) 200 cm
A long, straight metal rod has a radius of 5.50 cm and a charge per unit length of 33.8 nC/m. Find the electric field at the following distances from the axis of the rod, where distances are measured perpendicular to the rod's axis. (a) 3.10 cm(b) 20.0 cm (c) 200 cm
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 ?
1. A thin rod of length L and total mass M has a linear mass density that varies with position as λ(x)-γ?, where x = 0 is located at the left end of the rod and γ has dimensions M/L3. ĮNote: requires calculus] (a) Find γ in terms of the total mass M and the length L. (b) Calculate the moment of inertia of this rod about an axis through its left end, oriented perpen dicular to the rod; expressed...
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...