13.8 A particle moves along a plane curve from a point O to a point B. The path length between O and B is 2 m. The tangential component of the acceleration is a, = 0.05s m/s², where s is the path coordinate, measured in m from point O. The speed of the particle at O is 2 m/s, and the radius of curvature of the path at B is 3 m. Determine the magnitude of the acceleration of the particle at B.

Q: Problem 5: A particle is moving in a circular path in the x-y plane. The center of the circle is at…

A:

Q: An automobile moves on a circular track of radius 1.02 km. It starts from rest from the point (x, y…

A:

Q: 13.6 A particle travels around a circle of radius 4 m, changing its speed at a constant rate. At a…

A: In both speed and direction, acceleration is the rate at which velocity changes with time. In a…

Q: For the particle below, find it's (a) radial acceleration (b) tangential acceleration. (C) If it is…

A:

Q: A particle moves with the following trajectory: x = 0.16[m/s*]•tª - cos(8.32HZ-t) What is the…

A:

Q: A disk of radius 3.00 m rotates like a merry-go-round as given by the function θ = 2.00t^4 +…

A: Radius of the disk, r=3 m The angular position of the point on the rim at time t, θ=2t4+6t2 Time at…

Q: A solid ball (Iom =MR )rolls smoothly from rest (starting at height H= 5.3 m until it leaves the…

A: H = 5.3 m h = 2.1 m t = 0.63 s Let the mass of the ball = m Let the radius of the ball = r

Q: You have your bicycle upside down while you adjust the chain. The chain is wound around the rear…

A:

Q: This figure (la| = 13.0 m/s2) represents the total acceleration of a particle moving clockwise in a…

A: The free-body diagram is drawn as,a) The radial acceleration is equal to the cos component of the…

Q: Find the tangential component of acceleration for r(t)=t2i+t2j+t3k.

A: The tangential component for the acceleration is, aT=r't·r''tr't therefore,…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.