A uniform solid 5.25-kg cylinder is moving up a ramp that is incline at 30° to the horizontal. The initial speed of the cylinder at the bottom of the ramp is 5.00 m/s. Find the maximum distance, d, the cylinder rolls up the ramp (this is not the final height but the length of the incline that the cylinder travels). The moment of Inertia of the cylinder is 1 =½ MR².

Q: A cylinder is rotating about an axis that passes through the center of each circular end piece. The…

A: Let ω0 denotes the initial angular speed, ω denotes the final angular speed, t denotes the time, and…

Q: A disk drive is spinning at 10,000 rpm (1045 rad/s).  It decelerates to rest in 0.42 s.  The disk is…

A: Initial angular velocity of the disk, ωi=1045 rad/s Final angular velocity of the disk, ωf=0…

Q: The four particles shown below are connected by rigid rods of negligible mass where y1 = 5.70 m. The…

A: Step 1It is given that

Q: A child of mass m = 40 kg is initially placed on the edge of a uniform disk, of mass M = 100 kg and…

A: The objective of the question:Determine the initial angular speed. Given data:The mass of the child…

Q: A solid disk of radius R=80cm rotated about its center at an angular speed of 61 revolutions per…

A: The rotational kinetic energy is the rotational analog of the linear kinetic energy of an object. It…

Q: Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates…

A: a)the moment of inertia about x-axis is

Q: A solid cylinder of mass 4.2 kg and radius 0.41 m starts from rest at the top of a ramp, inclined…

A: mass= m = 4.2 kg radius = r =0.41 m height = h = 2.4 m angle = 20 degrees

Q: A solid disk rotates in the horizontal plane at an angular velocity of 0.050 rad/s with respect to…

A:

Q: solid cylinder of mass 2.7 kg and radius 0.48 m starts from rest at the top of a ramp, inclined 28°,…

A: Given mass of cylinder = 2.7 kg Radius = 0.48 m Moment of inertia of cylinder = 0.5 × 2.7 (0.28)2 =…

Q: Three forces are applied to a solid cylinder of mass 12 kg (see the drawing). The magnitudes of the…

A:

Q: A uniform disk (1=1/2 mR2) has a mass of 3 kg and a radius of 2m. The disk is mounted on…

A: Given: mass of the disk, m=3 kg Radius of disk, R=2 m Initial angular velocity, ωi=120 rpm=12.56…

Q: A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg .m² and is…

A: Given: R =2.0 mI1=250 Kg.m2ω1=10.0 rev/minm =25.0 kg

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.