Consider four equal masses of size 2 kg placed at the corners of a rectangle of width 4.3 m and height 1.3 m. Calculate the rotational inertia of this system when rotated about an axis that passes through a diagonal of the rectangle.
Q: Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be…
A:
Q: The figure shows three 0.0163 kg particles that have been glued to a rod of length L=5.57 cm and…
A:
Q: Consider a flat disk of radius 0.3 m. The mass per area of the disk is a function of r, the…
A:
Q: A hollow sphere of radius 0.130 m, with rotational inertia / = 0.0804 kg-m² about a line through its…
A: Radius of the hollow sphere, R=0.130 mRotational kinetic energy, I=0.0804 kgm2Angle of inclination,…
Q: A 2m radius wheel with spokes, rotating at 100 rad/s, slows down to rotational velocity of 82 rad/s…
A: Radius= 2m
Q: Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be…
A:
Q: The figure shows three 0.0105 kg particles that have been glued to a rod of length L=6.50 cm and…
A:
Q: rim makes an angle of 57.3°with the horizontal at this time. At t = 2.00 s, find the following. (a)…
A:
Q: The figure shows three 0.0176 kg particles that have been glued to a rod of length L=6.16 cm and…
A:
Q: A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk…
A:
Q: A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 kg · m? about a…
A:
Q: A uniform spherical shell of mass M = 6.60 kg and radius R = 0.890 m can rotate about a vertical…
A:
Q: Consider a father pushing a child on a playground merry-go-round. The system has a moment of inertia…
A:
Q: Part A An electron is to be accelerated from a velocity of 3.50x106 m/s to a velocity of 9.50x106…
A:
Q: A uniform cylinder of radius 21 cm and mass 22 kg is mounted so as to rotate freely about a…
A:
Q: A trapese artist must make a quadruple somersault in t = 1.7 seconds. For the first and last…
A: Given t=1.7 seconds I1=19.9 kg/m^2 I2=3.92 kg/m^2 Angular momentum conservation I1*w1=I2*w2…
Q: A thin stick of mass M3D0.2 kg and length L=4.0 m, is attached to the rim of a metal disk of mass…
A: Given, Mass of disc,m1=2 kg Mass of stick,m2=0.2 kg Length of stick,L=4 m Radius of disc,R=0.4 m
Q: The figure shows three 0.0197 kg particles that have been glued to a rod of length L=6.44 cm and…
A:
Q: (part 1 of 2) A merry-go-round rotates at the rate of 0.12 rev/s with an 83 kg man standing at a…
A:
Q: A uniform circular wheel (I=M R?) with radius, R=1.0 m and mass, M=50.0 kg is spinning at 120…
A:
Q: (a) Starting from I = r² dm show that a thin rod, length L, mass M, spinning about an axis at one…
A:
Q: A uniform solid disk has mass M and radius R. A child of mass m = M/2 is standing at two-thirds of…
A: The objective of the question is to find the rotational inertia (moment of inertia) of the system…
Q: A solid cylinder rolls down an inclined plane from rest and undergoes slipping. It has mass m and…
A: If the cylinder is undergoing slipping and has a coefficient of kinetic friction μk, we need to…
Q: We wrap a light, nonstretching cable around a solid cylinder, of mass 50 kg and diameter 0.120 m,…
A: Given data m=50 kgd=0.12 mF=9 Nx=2 m
Q: figure skater has a moment of inertia (rotational inertia) of 1.0 kg∙m2 when she is spinning at 1.0…
A:
Q: A hollow sphere of radius 0.210 m, with rotational inertia /= 0.0293 kg-m2 about a line through its…
A:
Q: A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a…
A: Given information: Here, m1 and m2 are the mass of the first and the second flywheel respectively,…
Q: A hollow sphere of radius 0.140 m, with rotational inertia / = 0.0243 kg-m2 about a line through its…
A: Given, A hollow sphere of radius 0.140m with rotational inertia I = 0.0243 kg.m2 and rolling without…
Q: he figure shows three 0.0179 kg particles that have been glued to a rod of length L-6.40 cm and…
A: Length of the rod=6.40cm Mass=0.0179kg Distance between each particle=2cm
Q: A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a…
A:
Q: A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 kg · m2 about a…
A: Concept: According to the Hint given, The moment of inertia of the sphere is I=23MR2 here, M= mass…
Q: Suppose you have a long, thin rod of length 1.51m that is free to rotate about a fixed end. If the…
A:
Consider four equal masses of size 2 kg placed at the corners of a rectangle of width 4.3 m and height 1.3 m. Calculate the rotational inertia of this system when rotated about an axis that passes through a diagonal of the rectangle.
(Please answer to the fourth decimal place - i.e 14.3225)
Step by step
Solved in 2 steps
- Solid spheres have a rotational inertia about an axis through their center of mass given by I = 2/5 M R2, where M is the mass of the sphere and R is the radius of the sphere. Consider a particular sphere of radius 1.2 m made out of a material of density 300 kg/m3. Using the parallel axis theorem, calculate the rotational inertia of the sphere about a parallel axis shifted 0.33 m away from the center. (Please answer to the fourth decimal place - i.e 14.3225)A hollow sphere of mass M and radius R = 0.15 m, with rotational inertia I = 0.040 kg · m² about a line through its center of mass, rolls without slipping up a surface inclined at 0 = 30° to the horizontal. At a certain position, say at a height hi from the ground, the sphere's total kinetic energy (its center of mass kinetic energy plus its rotational kinetic energy) is 20 J. (Hint: The moment of inertia of such a halo sphere is I = MR². The translational speed of a point on the surface of the sphere is the same as the speed of the center of mass of the sphere) (a) What ratio of this total kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at this position? (5 points) 1 m up the incline from this (initial) position, using When the sphere has moved d conservation of energy, find (c) its total kinetic energy ), and (d) the speed of its center of massA 4kg ball with a 0.45-meter radius is initially at rest begins to roll and accelerate at a uniform rate to a velocity of 10 rad/s in 5 seconds. The rotational inertia of the ball is 0.243 kg*m^2. Calculate the magnitude of the torque on the ball. Answer must use the correct SI units.
- A car is designed to get its energy from a rotating flywheel in the shape of a uniform, solid disk of radius 0.800 m and mass 600 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5.30 ✕ 103 rev/min. (a) Find the kinetic energy stored in the flywheel (in J). (b) If the flywheel is to supply energy to the car as a 10.5 hp motor would, find the length of time in hours the car could run before the flywheel would have to be brought back up to speed.Please answer E16,E17The figure shows an arrangement of 15 identical disks that have been glued together in a rod-like shape of length L = 1.4600 m and (total) mass M = 160.0 mg. The arrangement can rotate about a perpendicular axis through its central disk at point O. (a) What is the rotational inertia of the arrangement about that axis? Give your answer to four significant figures. (b) If we approximated the arrangement as being a uniform rod of mass M and length L, what percentage error would we make in using the formula in Table 10-2e to calculate the rotational inertia? ooooooooooo (a) Number i (b) Number i Units Units
- Four tiny spheres are fastened to the ends of two rods of negligible mass lying in the xy plane to form an unusual baton (as shown). We shall assume the radii of the spheres are small compared with the dimensions of the rods. (A) If the system rotates about the y axis (10.19a) with an angular speed ω, find the moment of inertia and the rotational kinetic energy of the system about this axis. (B) Suppose the system rotates in the xy plane about an axis (the z axis) through the center of the baton (10.19b). Calculate the moment of inertia and rotational kinetic energy about this axis.Problem 7.09. In the Bald Eagle courtship ritual discussed Problem 7.03, the eagles will sometimes spin together. If the Eagles rotate with an angular velocity of 2.00 rev/s, a) treating their moment of inertia as that of a point mass 30.0 cm from their interlocked talons for each eagle, what is their combined rotational kinetic energy?