10cm. 20 ст. The figure above shows the cross section of a thin steel disc of uniform density. It is 1 cm thick and its density is 7.7 g/cm³. It has a hole through it, as shown. (a) Compute the moment of inertia of the disc for rotation about the x-axis. (b) Compute the moment of inertia of the disc for rotation about the y-axis. (c) Compute the moment of inertia of the disc for rotation about the z-axis.
Q: A dumbbellconsists of two 2-meter diameter spheres, each with a mass of 40 kg, attached to the ends…
A: Diameter of the spheres (D)=0.2 m Therefore, radius of the spheres (R)=0.1 m Length of the slender…
Q: A solid cylinder has a mass 2.45kg and a radius 0.746 m. What is its moment of inertia (in unit of…
A: The formula for the moment of inertia when a solid cylinder is rotating about its central axis is:
Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…
A:
Q: A solid circular disk has a mass of 4.61 kg and a radius of 0.129 m. Each of three identical thin…
A: Given data *The mass of the circular disk is M = 4.61 kg *The given radius is r = 0.129 m *The mass…
Q: Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.52 kg.m² and an…
A: The moment of inertia of the disk A is The angular velocity of the disk A is The angular velocity of…
Q: A customer service person in a department store is wrapping packages for customers. The ribbon spool…
A: Given: The length of the ribbon is 13.7 m. The radius of the spool is 16.0 cm. The moment of inertia…
Q: A professor's office door is 0.99 mm wide, 2.1 mm high, 4.2 cm thick; has a mass of 28 kg, and…
A: The width of the door is The hight of the door is The thickness of the door is The mass of the door…
Q: Problem 7: The triceps muscle in the back of the upper arm is primarily used to extend the forearm.…
A: Write the given values with the suitable variables. F=2.05×103 Nr=3.25 cm=3.25×10-2 mα=105 rad/s2…
Q: A typical propeller of a turbine used to generate electricity from the wind consists of three blades…
A: Given: Length of blade L=30 m Mass of blade m=400 Kg Angular speed w= 28 rev/min To find: a) Angular…
Q: A 38.0 kg solid door is 209.0 cm tall, 117.0 cm wide. What is the door's moment of inertia (in…
A:
Q: A professor's office door is 0.97 m wide, 2.1 m high, 4.2 cm thick; has a mass of 25 kg , and pivots…
A: Given Data : The width of the office door is , w = 0.97 m The height of the office door is , h =…
Q: 2. An odd-shaped object rotates at a speed of 9.0 rev/s. A small 30. g mass with moment of inertia 1…
A:
Q: A wheel of radius 69 cm, mass 5 kg, and moment of inertia 1.19025 kg m^2 is mounted on a…
A: The equation of motion for the given problem be defined as, ∑F=mg-Tma=mg-T .........1…
Q: A disk with uniform density and radius 0.386 m used to weigh 33.18 kg, but then a hole was punched…
A:
Q: Two objects are connected by a 1.0-m-long massless bar. One object has twice the mass of the other.…
A:
Q: Problem 26: An object rolls without slipping down a 2.03 m high incline. What is the moment of…
A: Please see the attached image for the solution. If there are queries or if the image is not…
Q: Question 2: A thin rod of length l has a non-uniform mass distribution as shown in Figure 1. The…
A: Given that: Length of the rod= l Linear mass density, λ=Ax To determine the: Moment of inertia of…
Q: The bar in the picture below has a mass of 2 kg, uniformly distributed. Assume gravity is acting…
A: Given , Force (F ) = 10 N ,making an angle 35 degree with the horizontal. Length of the bar(l) =…
Q: A disc with radius 0.060 m and rotational inertia 0.051 kg.m^2 has a rope wrapped around its…
A:
Q: Two L 152x102x12.7 angle brackets are welded to a steel plate th has a width d as shown below. If…
A: Given: The ratio of the Centripetal moments of the inertia IxIy=1.5 The length of two rectangle is…
Q: An airplane propeller is L 2.03 m in length from tip to tip. This is twice the distance from the…
A:
Q: thanks!
A: Use the Newton’s second law of motion to solve for the net force on the system in the equilibrium…
Q: The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose…
A: The objective of this question is to find the moment of inertia of the forearm of a professional…
Q: A uniform disk with mass M = 0.24 kg and radius R = 0.15 m is free to rotate about the axis through…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: A hollow, spherical shell with mass 2 kg rolls without slipping down a 37 slope. The acceleration…
A: The acceleration for the hollow sphere is given as a=35gsinθ
Q: 7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit…
A: Given data: Mass of the aluminum disk is, m The radius of the aluminum disc is, R The area of the…
Q: Two rigid rods are rotated about a pivot point in the configuration shown below. The longer rod has…
A: Now, considering the system as a combination of both rods, the total moment of inertia (Itotal)…
Q: A 129 kg129 kg horizontal platform is a uniform disk of radius 1.89 m1.89 m and can rotate about the…
A:
Q: A massless rod of length 1.0 m has two masses (4.0 kg each) attached to it. The axis of rotation is…
A:
Q: A solid circular disk has a mass of 3.75 kg and a radius of 0.379 m. Each of three identical thin…
A: Given data: Mass of the circular disk M=3.75 kg Radius of the circular disk R=0.379 m Mass of the…
Q: 2 25,551 W S X 2. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.80…
A: Given data : Moment of inertia of disk A IA = 4.80 kg m² Angular velocity of disk A ωA = 7.60…
Q: A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm,…
A: Given: Thickness of disk b = 8.5 mm. Radius of disk R = 3.5 cm. Radius of short axle Ro = 3.2 mm.
Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…
A: Given data: Force (F) = 1879 N Perpendicular lever arm (r.sinθ) = 3.55 cm = 0.0355 m Angular…
Q: A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The moment of inertia of…
A:
Q: The drive chain in a bicycle is applying a torque of 1.550 N- m to the wheel of the bicycle. The…
A: Torque T = 1.550 N-mMoment of inertia I = 0.150 kg-m2
Q: 4. A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 4.00 kg,…
A: I=∑ mi ri2 IP=ICM+Md2 Moment of inertia for a slender rod,axis through center: I=112ML2 Moment of…
Q: 3 1. A uniform solid sphere rolls without slipping down a 28° inclined plane. What is the…
A: The answer to the above problem is given below
Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…
A:


Step by step
Solved in 2 steps with 2 images

- A sheet of aluminum with a rectangular shape is attached to a vertical support by a set of hinges. Assume the sheet is uniform and has height 2.15 m, width 0.865 m, and mass 24.0 kg. (a)Determine its moment of inertia (in kg · m2) for rotation on its hinges. ____ kg · m2 (b) Are any pieces of data unnecessary? (Select all that apply.) The width of the sheet is unnecessary. The mass of the sheet is unnecessary. The height of the sheet is unnecessary. No; all of the data are necessary.A 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.The figure above shows two barbells, which can be modeled as two point masses connected by a massless rod. In the figure, L = 0.77 m and m = 20.1 kg. The barbells can rotate about an axis that is perpendicular to the rod and passes through the midpoint of each rod. For the barbell with the larger moment of inertia, give the moment of inertia (in units of kg m2).
- A customer service person in a department store is wrapping packages for customers. The ribbon spool she uses has 13.7 m of ribbon wound on it. The radius of the spool is 16.0 cm and its moment of inertia is 0.55 kg. m². As the spool turns, friction forces cause a torque of 0.17 N m to act on it. The spool is initially at rest. The service person pulls on the spool with a constant tension of 11.5 N. Determine the time it takes, in seconds, to unwind 5.5 m of the ribbon, assuming there is no slippage and the mass of the ribbon is negligible.A cylindrical metal drum, with a radius of 0.25 m, has an inertia of 11.0.kg. The drum is hollow and you may neglect the inertia of the top and bottom of the drum. The drum is free to rotate about an axle that runs through its centre and along its long axis. A cord is wrapped around the drum. The cord is pulled straight from the drum with a constant force of 60 N. As the cord unwinds, the drum rotates, with no slippage between the cord and the drum. (a) Calculate the work done by person pulling the cord as the drum rotates through 100 radians. Give your answer in Joules (b) Assuming the drum starts from rest, what is the rotational speed of the tyre after it has rotated through 100 radians? Give your answer in rad.sPlease answer E16,E17
- Two disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R = 2.58 m. Disk 1 has a moment of inertia I1 = 9.8 kg⋅m2. Disk 2 has a moment of inertia I2 = 5 kg⋅ m2. Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ω1,z = 21 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω2,z = -15 rad/s. The z component of their common angular velcoity is 8.837 rad/s How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small. I get I need to use kinetic energy equations of 1/2*I*w2 but…TWo metal disks,one with radius R, = 2.50 cm and mass M, = 0.90 kg and the Other with radius Rz =5.00 cm and mass M2= 2.00 kg , are welded together and mounted on frictionless axis through their common center. A.) What is the total moment of inertia of the two disks. B.)A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.00 m above the floor, what is its speed just before it Strikes the floor. R2 1.50 kgTwo masses m1 and m2 are attached to a rod that is capable of rotating about an axis perpendicular to the rod and passing through the end A as shown in the diagram below. The length of the rod is L = 20.0 cm, m1 2.00 g, m2 3.50 g, X1 = 5.20 cm and x2 8.05 cm. %3D L т, m, A (a) What is the moment of inertia of the system about the specified axis if the rod's mass is negligible? kg · m2 (b) What is the moment of inertia of the system about the specified axis if the rod has a mass of 8.00 g? kg · m2