7. + -/2 points Nonuniform Rod A 34 cm rod has a linear density (mass per...
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?
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?
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?
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 metal rod of length 76 cm and mass 1.79 kg has a uniform cross-sectional area of 7.7 cm2. Due to a nonuniform density, the center of mass of the rod is 22.2 cm from the right end of the rod. The rod is suspended in a horizontal position in water by ropes attached to both ends (the figure). (a) What is the tension in the rope closer to the center of mass? (b) What is the tension in the...
A thin, uniform rod has length L and the linear density a (i.e. total mass M=al). A point mass m is placed at distance x from one end of the rod, along the axis of the rod. Calculate the gravitational force of the rod on the point mass m. (Hint: element of the mass is dM = adx) -GmM/x? O-GmM/(L2-x2) -GmM/(x+.5L) -GmM/(x2+Lx)
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.
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 ?
0 A rod of length L and mass M is placed along the x-axis with one end at the origin, as shown in the figure above. The rod has linear mass density λ=en-x, where xis the distance from the origin. Which of the following gives the x-coordinate of the rod's center of mass? 2M 12 (B) I (C)江 4