Through what angle (in radians) has the disk turned when it has raised the elevator 3.45 m between floors? Express your answer in radians.

Q: An athlete at the gym holds a 3.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of…

A:

Q: A fan rotating with an initial angular velocity of 898 rev/min is switched off. In 3.4 seconds, the…

A:

Q: If the distal end of a golf club is 1.85 m from the axis of rotation. It completes a downswing in…

A: Given, the distal end of a golf club is 1.85 m from the axis of rotation  let L=1.85 m completes a…

Q: disk of radius 4.00 m spins with an angular speed of 90.0 degrees/second. What is the speed of the…

A:

Q: Express the angular acceleration of the disk as a function of time.

A: From the figure we can say that if the ball has acceleration a then the outer part of disk will have…

Q: What is the angular acceleration when the angle is pi/4 radians?

A:

Q: A wheel has an initial angular velocity of 0.8radians per second and an angular acceleration of 1.3…

A: The relation which is used to solve this question is…

Q: id 0.4550 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7150 m.…

A: The mass of the solid is m = 0.4550 kg.  The ball rolls without slipping down a track toward a…

Q: Two points are located on a rigid wheel that is rotating with a decreasing angular velocity about a…

A: Point A is located on the rim of the wheel,Point B is halfway between the rim and the axis

Q: "In a rotating rigid body, the rotation access lies at the origin (0,0)" O True False

A: For a rotating rigid body, the origin can be taken anywhere, irrespective of Rigid Body.

Q: If a wheel turns with constant angular speed then 1. 0 the angle through which the wheel turns in…

A: Given data: The angular speed of the wheel is constant. Angular speed (ω) = constant

Q: A disc of radius 0.1 m rolls without sliding on a horizontal surface with a velocity of 6 m/s1.Then,…

A:

Q: A stirng is attached to a tennis ball and it is swung around in a circular path. If the angular…

A: angular velocity ω=12.7 rad/s length of string l=34 cm=0.34 m

Q: A circular disc is initially rotating at 3.2 rad/s and has a constant angular acceleration. After…

A:

Q: What is the magnitude of the angular acceleration of the cylinder?

A:

Q: An object is swung in a horizontal circle with a radius of 0.75 m. If the object makes one full…

A:

Q: 1. Angular position in degrees (in 2 decimal places) at t=2.00s. 2. Distance a particle on the…

A: Given: Diameter, d=0.360 m Angular position: 1) The angular position in degree at t=2 s:

Q: The angular position as a function of time is given as 0 = –1 – 0.6t + 0.25t² with tin - sec and 0…

A: Solution: Given that θ=-1-0.6t+0.25t2where θ in radian,t in seconds

Q: If the turbine of the engine spins at an angular velocity of 235.47 radians per sec, what is the…

A:

Q: A uniform rod of mass 0.7 kg and length 2.1 m is free to rotate about one end. If the rod is…

A: The center of mass of the rod (H) is located above the horizontal. The equation of center of mass of…

Q: The radial rotates with a constant angular velocity of 2 rad/s. Point P moves along the line at a…

A:

Q: The blade of a lawn mower is rotating at 128rad/s. The tangential speed of the outer edge of the…

A:

Q: Consider a disk (I = 1/2 M R4) of mass 13 kg and radius 0.21 m. The disk is rolling without slipping…

A: The torque on the disk can be written as, Here F is the force applied on the disk and R is the…

Q: The picture shows an overhead view of a ring that can rotate about its center like a merry-go-round.…

A: Given data- Outer radius R2=0.810 m Inner radius R1=R2/2  Mass of ring M=8.6 kg Mass of cat m=M/4…

Q: Suppose a disk rotates at constant angular velocity. Does a point on the rim have radial and or…

A:

Q: An object with a mass of m = 5.10 kg is attached to the free end of a light string wrapped around a…

A:

Q: A bicycle slows down uniformly from v0 = 6.56 m/s to rest over a distance of 102 m. Each wheel and…

A: Given data:  Initial velocity (v0) = 6.56 m/s Diameter (D) = 57.4 cm Required: Initial angular…

Q: medical saW is rotating at a constant rate of 15 revolutions per second. If it has a radius of 12…

A: given: ω=15 rev/sr=12 cm

Q: A wheel of a radius 5.02 m rotates at a uniform speed. If a point on the rim of the wheel has a…

A:

Q: A 1450 kg disc with radius 3.0 m is rotating at 1500 rev/min when an 925 m·N braking torque is…

A: Mass of the disc= 1450kgRadius=3mAngular velocity=1500rev/min

Q: An athlete with a mass of 62.0 kg is rotating head-over-heels in mid-air, at an angular speed of…

A:

Q: Find the net torque on the wheel in the figure below about the axle through O, taking a = 12.0 cm…

A:

Q: The initial angular velocity of the propeller of the boat is 80 rev/min and was increased to 120…

A: Given data: Initial angular velocity ωi=80 rav/min=80×2π=8.37 rad Final angular velocity ωf=120…

Q: A wheel undergoes angular acceleration of 0.44rad / s ^ 2 for 5 seconds (starting from rest ).…

A:

Q: You take a ride in a ferris wheel. Starting from rest, you accele revolutions, until you reach an…

A: We know the angular acceleration is α and the angular velocityω,  time t  So then time has elapsed…

Q: A wheel accelerates from rest to 59 rad/s at a uniform rate of 58 rad/s^2. Through what angle (in…

A:

Q: A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If…

A:

Q: The radius of the wheel is 15 feet, the center of the wheel is 20 feet above the ground, and the…

A:

Q: A 0.42 m radius tyre rotates from rest at 4.7 rad.s-2. How far shall the tyre travel in 13.6 s?

A: Given:radius, r= 0.42 minitial angular velocity,ωi = 0 rad/sangular acceleration,α=4.7 rad/s2time, t…

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).