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 ?
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 long thin solid rod lies along the positive x-axis. One end is at x = 1.50 m and the other at x = 3.60 m. The linear mass density is λ = ax3 + bx, where λ is measured in kg/m, and the constants have the following values: a = 1.80 kg/m4 and b = 2.40 kg/m2. 1. Determine the total mass of the rod. 2. Calculate the x-coordinate of the center of the mass for this rod.
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 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?
(a) A thin plastic rod of length L carries a uniform linear charge density, λ-20 trCm, along the x-axis, with its left edge at the coordinates (-3,0) and its right edge at (5, 0) m. All distances are measured in meters. Use integral methods to find the x-and y-components of the electric field vector due to the uniformly-charged charged rod at the point, P. with coordinates (0, -4) m. 4, (o, 4 p2212sp2018 tl.doex
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?
5. A rod 200 cm long has a linear charge density λ·A xs Cm. If A·2.0 x 10" C/m Applying the superposition's principle a) Find an expression for the electric field vector at the distance 16 cm from its center 16 cm E-? L=20 cm b) Determine magnitude and direction of the electric field along the axis of the rod at a point 16.0 cm from its center.
Solution please A 20 kg mass is to be lifted with a rod 2 m long. If you can exert a downward force of 62 N on one end of the rod, where should you place a block of wood to act as the fulcrum? Fulcrum Distance meters