A thin, uniform rod is bent into a square of side length a. If the total mass is M, find the moment of inertia about an axis through the center and perpendicular to the plane of the square.
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius m =…
A: The rotation inertia of the loop,
Q: Three small blocks, each with mass m, are clamped at the ends and at the center of a rod of length L…
A: mass of three blocks = m length = L
Q: small pole (uniform, thin) that has a mass of 4.31 kg and can pivot about an axis perpendicular to…
A:
Q: Two balls with masses M = 4.67 kg and m = 2.67 kg are connected by a rigid bar of length L = 2.51 m…
A: Given that M = 4.67 kg m = 2.67 kg L = 2.51 m Find the minimum moment of inertia in kg/m2 for…
Q: A hollow cylinder of outer radius R = 11 cm and mass M = 68 g with moment of inertia about the…
A:
Q: A yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller…
A:
Q: Two disks are initially spinning, one above the other on a small axle that provides a small, but…
A: Given: Mass of mud,mm=2kgMoment of Inertia of Disk 1, I1=9.8kg.m2Moment of Inertia of Disk 2,…
Q: A uniform cylindrical rod of length L and mass M is rotated about an axis perpendicular to its…
A: The moment of inertia of a body about an axis passing through its center of mass is given by its…
Q: A ceiling fan is made from a cylindrical plate with a mass of 900.0 g and a radius of 11.0 cm. Three…
A: In this question we are given that a ceiling fan is made from a cylindrical plate with a mass of…
Q: Let's model an airplane propeller as 2, 0.25 m long thin rods of mass 0.040 kg. Calculate the…
A: Formula of Moment of inertia of propeller about an axis at the end is as follows; I=ML23…
Q: uniform thin rod of mass ?=3.57 kgM=3.57 kg pivots about an axis through its center and…
A: Given Mass of rod M=3.57 kg Mass of small bodies m= 0.235 kg Moment of inertia of system = 0.985 kg…
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…
A: Determine the moment of inertia of the old wheel.
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…
A:
Q: Calculate the moment of inertia for a hollow sphere with radius 0.028 m and mass 0.51 kg. Express…
A:
Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…
A:
Q: A uniform solid rod has length of 0.3 m and mass of 1.0 kg. One end of this rod is connected to a…
A: Moment of inertia of the solid sphere. Id = (1/2)md r2 Write the equation for the moment of inertia…
Q: what is the sphere's radius
A: Given radius of the cylinder (r)= 4.9cm radius of the sphere =R the mass of both sphere and…
Q: n object is formed by attaching a uniform, thin rod with a mass of mr = 6.86 kg and length L = 5.76…
A: Mass of the rod, mr=6.86 KgLength of the rod,L=5.76 mmass of the sphere, ms=34.3 kgRadius of the…
Q: The mechanism shown in is used to raise a crate of supplies from a ship's hold. The crate has otal…
A:
Q: Let's model an airplane propeller as 3, 0.20 m long thin rods of mass 0.040 kg. Calculate the…
A: The expression for the required moment of inertia about an axis at the end is,
Q: Consider a solid sphere and a solid disk with the same radius and the same mass. Explain why the…
A: Solid.sphere moment of inertia is 2mr2/5 whereas moment of inertia of solid disc is mr2/2. This is…
Q: A 35kg wheel is off-center, with its axle 3.4cm away from its actual center of mass, and it has a…
A: Given data: The work done is W=84 J. The final speed of wheel is ω=11.3 rad/s.
Q: Disk 1 Disk 2
A: use the conservation f angular momentum we have to solve the question
Q: 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: Given: Length of the bar is l=2.0m. Mass of the bar is M=4.0kg. Mass of each ball is m=0.300kg.
Q: Calculate the moment of inertia for a solid sphere with radius 0.050 m and mass 0.79 kg. Express…
A:
Q: ) Find the moment of inertia of
A:
Q: A thin uniform disc of mass M and radius R has con- centric hole of radius r. Find the moment of…
A:
Q: solid horizontal cylinder rotates with an angular speed of 7.50 rad/s about a fixed vertical axis…
A:
Q: A rod of mass 3m and length L can pivot about an axis through its center and perpendicular to the…
A:
Q: yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller…
A:
Q: A circular cone with constant density 1, base radius 6, and height 8 is placed so the axis of…
A:
Q: A spherical shell of radius 3.09 cm and a sphere of radius 7.47 cm are rolling without slipping…
A: Here, we calculate the given as follow;
Q: A uniform thin rod of mass ?=3.47 kg pivots about an axis through its center and perpendicular to…
A:
Q: Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius…
A:
A thin, uniform rod is bent into a square of side length a. If
the total mass is M, find the moment of inertia about an axis through
the center and perpendicular to the plane of the square.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.46 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0588 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? 0.267 %3D Enter numeric valueYou are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules), taking into account both the translational and rotational motion?The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.368 m and mass 5.27 kg, and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
- The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.474 m and mass 4.70 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0651 m thick, made out of a material with a density of 7830 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = mThere is a circular disk of radius 0.5 m and mass 2 kg. A child throws down a rock, hitting the edge of the disk perpendicularly with a force of 50 N. Thedisk doesn't break, but starts to spin. If the moment of inertia for the circular disk rotating about the center is 1/2M(r^2), What is the tangential acceleration of a point on the disk 0.05 m from the point of impact?The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 5.65 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 6910 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = m
- The figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having two sidewalls of uniform thickness 0.600 cm and a tread wall of uniform thickness 2.50 cm and width 19.8 cm. Assume the rubber has a uniform density 1.10 x 10³ kg/m³. Find its moment of inertia about an axis perpendicular to the page through its center. 0.082 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg - m² 33.0 cm 30.5 cm 16.5 cm Sidewall TreadTwo 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 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=2.68 m. Disk 1 has a moment of inertia I_1=11.1 kg⋅m2. Disk 2 has a moment of inertia I_2=16.6 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 ω_1,z=10.3 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω_2,z=−15.5 rad/s. *Common angular velocity: ω_common,z = -5.161 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.