Calculate the inertia tensor for rectangular lamina of density 'p', mass 'm' and of 2aX 2b about an axis (line) corner be at the origin. dimensions through one
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- The vector for the force of friction always drawn such that:(D) The density of alumınum is 2.70 alam. Recal that density is mass divided bu uolume.lwhat is the mass of a cube m that is B.104cm on a Side in SI units. ot aluminur Express your answerThe measure of the linear density at a point of a rod varies directly as the third power of the measure of the distanceof the point from one end. The length of the rod is 4 ft. and the linear density is 2 slugs/ft at the center. Find the centerof mass of the rod.
- The m = 11.0 kg block in the figure is held in place by the %3D T2 T5 T3 T m massless rope passing over two massless, frictionless pulleys.A student spins a rubber stopper, tied to a string, over his head in a horizontal circle. The radius of the circle is, r, meters and the stopper has a mass of, m, grams. The stopper has period of, T, seconds, which results in a tension, 6.3 N. If the radius of the swing was changed by a factor of 2.4, what would be the resulting tension? Give your answer to 3 sig figs (1 decimal place in this case)Determine the angle 0 between the 350-lb force and the line OC.
- (a) What is the average density of the sun? (b) What is the av- erage density of a neutron star that has the same mass as the sun but a radius of only 73.199 km? (express your answer in the proper SI unit and without scientific notation)The volume of a sphere is given byV=(4/3)πr^3, whereris the sphere’s radius. For solid spheres with the same density – made, for example, from the samematerial – mass is proportional to volume. The table below lists measures of deameterand mass for different steel balls. (a) Determine the quantity that, when you plot mass against it, should yield a straightline. (b) Make your plot, establish a best-fit line, and determine its slope (which in thiscase is proportional to the spheres’ density Diameter (cm) 0.75 1.0 1.56 2.16 2.54 Mass(g) 1.81 3.95 15.8 38.6 68.2Determine the magnitude and the direction of the resultant force either by calculations or by accurate construction and measurements (use scale 10mm=50N)
- One day, you are driving your car down the highway, and you notice that you are driving well over the speed limit. You apply the brakes of the carapplying a variable stopping force, until the car slows down to a rea sonable speed of 22.4 m/s (50 mph)A computer plots the force versus time for the vehicle and then measures the area under the curve. It is found that the area is - 18.950N . The total breaking time was 5.4 s. Given that the combined mass of you and your car 1sm = 1200 kg how fast were you moving before applying the breaks? What is the average force applied by the road to the car during breaking? (Note: 1Ns=1kg* m/s)The forces acting onan object weighingW units on aninclined planepositioned at anangle of θ with thehorizontal (see figure)are modeled byμW cos θ = W sin θ,where μ is the coefficient of friction. Solve theequation for μ and simplify the result.