Situation A 4 - a particle rotates in accordance with the equationd=a4-6t>, where & is in ra ard t is in secs. when t =0, w= d0rads/s ard f = 0. Find The ma ximum angular velocity d/s

Q: A CD rotating at angle initial angle 40 rev / min , it took sec 20 to stop, how many turns did it…

A: The angular acceleration is,

Q: A record with a radius of 0.14 m, is turned 236 degrees in 18 seconds. What is the angular speed in…

A: it is time rate at which body revolves around an axis and it is measured in rad/sec.

Q: @ B t LI C () t

A: On observing the position vs time graph initially for some time angular position is constant so…

Q: A wheel 25cm in radius turning at 120 rpm increases its speed to 660 rpm in 9s. Find tangential…

A: Given: Radius = 25 cm= 0.25m Initial angular velocity: Final angular velocity: Angular…

Q: Problem 1 = UHart Mechatronics students have developed a robotic arm programmed to an angular…

A: Solution:-    Given;         θ=2πsin(πT)         r=3(2+2e-1.5t)  ,t=2.25

Q: A wheel, starting from rest, rotates with a constant angular acceleration of 2.90 rad/s2. During a…

A: Let time elapsed before that interval is t   Now, angular speed after t sec  W = 0 + 2.9×t

Q: The center O of the wheel is mounted on the sliding block, which has an acceleration ao = 9.5 m/s2…

A: We have,ao = 9.5 m/s2θ = 48°θ˙ = 4.6 rad/sθ = -8.2 rad/s2¨r = 0.305mNow,aA/of = rω2               =…

Q: A yo-yo with an inner radius of R, and outer radius of R2 is being pulled along the ground at an…

A: FBD of yo-yo N+T sin θ =mg N=mg-T sin θ  f=μN f=μ(mg-T sin θ )

Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…

A: W1= 9 rev/s= 56.5486 rad/s  t = 10sec  Angular displacement= 77.5(2π) = 486.9468 rad

Q: A bicycle has a pedal sprocket with radius 6 inches, a tire sprocket with radius of 2 inches, and a…

A:

Q: Compute the fan's angular velocity magnitude after time 0.207 s has passed (express as rev/s)

A: Complete explanation and final answers is in next step.

Q: Kristen performs a backward flip (one revolution) in 0.75 seconds.  a.) What is her average angular…

A: Given ,             Time taken in one backward flip is t =0.75 seconds  One flip = one revolution =…

Q: Part A what is the angular acceleration of the flywheel. EXPRESS ANSWERR IN RADIANS PWR SECONDS…

A:

Q: A disk of radius 12 cm, initially at rest,begins rotating about its axis with a constant angular…

A: We have given angular acceleration α = 3 rad /s2  Radius r = 12 cm = 0.12 m  Time t = 5 sec  Initial…

Q: A wheel makes 69.169.1 rotations during 5.59 s.5.59 s. What is the average angular velocity ?avωav…

A:

Q: A bowling ball rolls without slipping at a speed of vi. It encounters a ramp of verticle height h.…

A:

Q: A shepherd's sling, an ancient weapon, twirls a stone in a vertical circle with a constant angular…

A: Since, angular speed is constant. It would be same in both cases.

Q: one end of a cord is fixed and a small 0.5 kg object is attached to the other end , where it swings…

A: Solution:   Given Values,   Mass (m)=0.5 Kg Radius (r)=2 m  Speed (v)=8 m/sAngle (θ)=200

Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations…

A:

Q: A 45.0cm diameter disk rotates with a constant angular acceleration of 2.50rad/s. It start from rest…

A: Given, Diameter of disk d = 45 cm =  0.45 m Angular acceleration α=2.50 rad/s2 t = 2.30 s Angle θ =…

Q: What is the centripetal force needed to keep a 3.0 kg mass moving in a circle of radius 0.50 m at a…

A:

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).