A familiar sight during a town fiesta is a majorette twirling a baton in her hand and leading a group of musicians. Suppose the baton consists of a metal ball of mass 0.25 kg and a diameter 0.12 m at each end of a slim rod. The rod is 0.50 m long. Find the moment of inertia and radius of gyration of the baton about an axis perpendicular to the rod and intersecting it at the middle and 0.4  from the one end of the rod. Assume that the rod has neglible mass.

Q: Find the moment of inertia of a thin spherical shell with a mass of 0.15 kg and a radius of 0.5 m.

A:

Q: Four particles of masses 0.2 kg, kg and 0.5 kg are kept at the corners ABCD of square with side 1…

A:

Q: Find the moment of inertia of a thin uniform rod of mass Mand length L about an axis passing through…

A:

Q: Show that the moment of inertia of a right circular cone of mass M , height h and radius ‘a ’ about…

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: An automobile traveling 56.0 km/h has tires of 60.0 cm diameter. (a) What is the angular speed of…

A:

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…

A:

Q: 1. A thin rod of mass 2 kg and length 40 cm is attached to a uniform disk (at point A on the edge of…

A: Moment of inertia of a rod=1/12ML² Moment of inertia of disk=1/2MR²

Q: suppose a baton of a metal ball A having a mass of 0.32 kg with a diameter of 0.15 m and another…

A: The mass plays a crucial role in inertia as inertia depends on mass. But in rotation, inertia…

Q: The four particles in Figure below are connected by rigid rods of negligible mass. The origin is at…

A:

Q: A round object with moment of inertia Iobject = 2/3MR2, mass M = 2:2 kg, and radius R=0.2 m rolls…

A: We apply the condition of pure rolling and work-energy theorem to get the take-off velocity. And…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…

A:

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh =…

A:

Q: A playground merry-go-round of radius R = 1.60 m has a moment of inertia 1 = 230 kg - m2 and is…

A: Solution Given dataMoment of inertia I1=230kg−m2Radius R=1.60mAngular speed ω1=8rev/minMass of…

Q: We wrap a light, flexible cable around a solid cylinder with mass 0.51 kg and radius 0.29 m. The…

A: Given data: The mass of the cylinder: m=0.51 kg The radius of the cylinder: r=0.29 m The mass of the…

Q: Consider the diagram below. The axle radius is 1 m and the wheel radius is 4 m. A 1600-N load is…

A: Given The axle radius = 1 m the wheel radius =  4 m.  load = 1600-N The moment of inertia of the…

Q: A prototype of an adapted bowling device is a simple ramp that attaches to a wheelchair. The bowling…

A: Since the ball is at rest initially, its initial kinetic energy is zero. It has only the potential…

Q: A disk of radius R and thickness t has a mass density that increases from the center Po (r/R),where…

A: The mass density ρ=ρ0rR The elemental disc of mass dm at a distance r from the center of the disc .…

Q: In a Maxwell's wheel experiment, the mass of the wheel is 450 gram, and the radius of the spindle…

A: Given that,Mass of the wheel=450gmRadius of the spindle=3 mmHeight from which spindle released=30…

Q: A uniform thin rod of mass M = 3.39 kg pivots about an axis through its center and bodies, each of…

A: Given: The mass of the rod is 3.39 kg. The mass of the two bodies is 0.217 kg. The total moment of…

Q: A (a) What is the mass of the cylinder? kg (b) What is the radius of the cylinder? m Additional…

A:

Q: Chapter 11, Problem 041 GO The figure shows a rigid structure consisting of a circular hoop of…

A: Given that, The period of rotation of the hoop, t = 1.4 s R = 0.2 m and m = 4.1 kg We need to find…

Q: A wheel of radius 0.241 m, which is moving initially at 47.3 m/s, rolls to a stop in 203 m.…

A:

Q: diver has a radius of gyration of 72 cm and their mass is 68 kg. a) What is the diver’s moment of…

A: Mass, m = 68 kgRadius, r = 72 cm = 0.72 mMoment of inertia, I = ?

Q: A discus thrower moves the discus in 2.40 complete revolutions about his body in 1.43 s (starting…

A:

Q: Messina Clock, a famous tower clock in Sicily Italy, has an hour hand of length of L = 4.10 m and…

A: The problem is based upon the concept of angular momentum, and moment of inertia. We know that…

Q: Ex. 49: Calculate the moment of inertia of uniform disc of mass 5 kg and diameter 1 m, about an axis…

A: To find- (1) M.I. about an axis passing through its centre and perpendicular to its plane (Ic)=? (2)…

Q: Calculate the moment of inertia of the form about the indicated axis

A:

Q: Calculate the moment of inertia for a solid sphere with radius 0.050 m and mass 0.79 kg. Express…

A:

Q: A cylinder 12 cm in diameter having a mass of 3 kg rests on a horizontal plane. Compute the moment…

A: The moment of inertia for a solid body is defined as where is the density of the object and is…

Q: et torque of 36.0 Nm is applied to a potters wheel rotating about a fixed axis. The applied force…

A:

Q: 9. A solid ball of mass M, radius R (moment of inertia = (2/5) MR²) starts from rest at a height of…

A: In rolling down on a inclined plan, The potential energy  Mgh is converted in to linear and…

Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a…

A:

Q: Side view R R/2 MM

A: Part a: The moment of inertia of the yo-yo is the moment of inertia of two concentric disc.

Q: A uniform bar has two small balls glued to its ends. The bar is 1.9 m long and has mass 1.5 kg,…

A: See below

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius…

A: The radius of the hoop is rh = 0.421 m  The mass of the hoop is m = 5.46 kg  The mass of each rod m'…

Q: Calculate the moment of inertia of a disc which has mass 2982.4g and radius of 0.386m.Express you…

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: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius ?h=0.527…

A: The moment of inertia of the current wheel is as follows: I=Mrh2+2112m2rh2I=Mrh2+23mrh2I=rh2M+23m…

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh=0.262…

A:

Q: 5) What is the moment of inertia of the object about an axis at the right edge of the sphere? kg-m2…

A: Moment of inertia of combination of objects about an axis is given as the sum of individual moment…

Q: Problem 2: Apulley consists of a large disk of radius R and a small disk of radius r that are welded…

A: