Using I = | x M/L dx, prove that the moment of inertia about the y'-axis at the end of the rigid rod in the figure is (1/3)ML. (Submit a file with a maximum size of 1 MB.) dx
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- The wheel of radius R shown below consists of a hoop of massm and two thin rods, each of mass M. Calculate the moment of inertia of the wheel about an axis going through its center, perpendicular to the plane of the hoop, for the values listed below. Express your answer in kg m2 to three significant figures. R= 2.28 m m = 0.372 kg M= 0.288 kgA thin rod of length L = 5 m and mass m has a linear density A(x) = Ax³ where x is the distance from the rod's left end. X(x) has units of kg/m and A = 6.38 with appropriate units that can't be displayed nicely due to Canvas limitations. Calculate the rod's moment of inertia I about an axis through x = 0 and perpendicular to the rod's length. (Hint: Evaluate the integral I = fr² dm where r = x is the distance from the axis to each element of mass dm = X(x) dx . Note: The rod's total mass mass m isn't needed but, if you would like to know it, you can find it by evaluating the integral m = f dm = f(x) dx.) I= kg m²If an object has a moment of inertia 37 kg-m2 and the magnitude of its rotational angular momentum is 88 kg · m2/s, what is its rotational kinetic energy? Krot =
- The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 1559 N with an effective perpendicular lever arm of 3.25 cm, producing an angular acceleration of the forearm of 110.0 rad / s?. What is the moment of inertia of the boxer's forearm? moment of inertia: kg m?Two masses, m₁ = 31.0 kg and mp = 42.0 kg are connected by a rope that hangs over a pulley (as in the figure(Figure 1)). The pulley is a uniform cylinder of radius R = 0.316 m and mass 3.3 kg. Initially, mis on the ground and mp rests 2.5 m above the ground. igure MA MB 4 2.5 m 1 of 1 Part A If the system is now released, use conservation of energy to determine the speed of mp just before it strikes the ground. Assume the pulley is frictionless. Express your answer using three significant figures and include the appropriate units. V = Di Value Submit μA Drovide Foodhark Request Answer P Pearson Units Review | Constants ?A solid cylindrical disk has a radius of 0.11 m. It is mounted to an axle that is perpendicular to the circular end at its center. When a 71- N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 200 rad/s². What is the mass of the disk? Number Units α
- A pipe system consists of three pipes with lengths = 1.50 m, L2 L1 0.500 m, and L3 2.60 m. A plumber pulls on the end of the pipe system, at the point P, with a force Fp = -21.0 Ni+ 49.0 Nj + 31.5 Nk. L, What is the torque 7 due to Fp about the origin? そ= N•m Enter your expression using ijk unit vector notation.A thing solid cylinder has a mass 6.98kg and a length 1.66 m. What is its moment of inertia (in unit of kg.m2) when it is rotating as shown above? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)Refer to the question below.
- Two forces act on the rod. Determine the resultant moment they create about the flange at O. Express the result as a Cartesian vector. F, = (-60i + 40j + 20k] kN 2 m 4 m B -5 m- F = {80i + 40j- 30k} kNPlz use g = 9.8 m/s2 to find if neededA kitchen door is attached to a vertical support by a set of hinges. Assume the door is uniform and has height 2.40 m, width 0.865 m, and mass 21.0 kg. A. Determine its moment of inertia (in kg · m2) for rotation on its hinges. B. Are any pieces of data unnecessary? (Select all that apply.) The height of the door is unnecessary. The width of the door is unnecessary. The mass of the door is unnecessary. No; all of the data are necessary.