1. Sarah sees a playground merry-go-round platform that has a radius of 3.50m at the bottom of the hill. She gets it rotating up to an angular velocity of 2.5rad/s. The merry-go-round has a moment of inertia = 650kg-m². Assume the motion is constant with no friction. a. What is the angular momentum of the merry-go-round?

Q: Find the radius of curvature y^2-4x=0 at (4, 4)

A:

Q: Ships A and B leave port together. For the next two hours, ship A travels at 35.0 mphmph in a…

A:

Q: 15. Jake is flying a plane due north at 225 km/h as a wind pushes it due east at 55.0km/h. Find thr…

A: Solution: Calculate the magnitude of the resultant velocity. R=P2+Q2+2PQcosθ Substitute 90° for θ,…

Q: Determine the resultant if an object is travelling 50 km north, then 15 km N 30° E.

A: As the second vector is NE 300 therefore the angle between first vector which is due north and…

Q: 4. Three players on a reality TV show are brought to the center of a large, flat field. Each is…

A: A = 71 m @52o west of south B = 59 m @26o north of west C = 27 m due east

Q: A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

A:

Q: Assume the following position vectors. r A B = 0 i + 0 j + 8 k r A C = − 8 i − 5 j + 8 k…

A: Position vector AB is given by : AB→= 0i^ + 0j^ + 8k^Magnitude of vector AB = (0)2 + (0)2  +(8)2=…

Q: What direction does I2 go?

A: Concept 1 Force between two wire which is carrying current, is attractive if the direction of both…

Q: A plane is circling the airport with a speed of 145ms. The radius of the plane’s path is 1870m. How…

A:

Q: These problems share the same scenario. Each is just a different question about the same situation.…

A: Given, Initial velocity of the rock u = 33.45 m/s Height of the building h = 381 m

Q: 78. |||| Jason works for a moving company. A 45 kg wooden crate is sitting on the wooden ramp of his…

A: Let us draw the free body diagram first,showing all forces acting on it :-…

Q: What is the position at t=0s?

A:

Q: Two position vectors lie in a plane. The first, vectorr. points at an angle of 20° below the…

A:

Q: QUESTION 2 Daredevil SuperDave accidentally drops a wrench from his hot-air balloon at an altitude…

A: Daredevil SuperDave accidentally drops a wrench from his hot air balloon at an altitude of 100 m.…

Q: Problem IVOOI To reach a picnic basket, an ant walks from his hill located at 4.00 m, 52.0° North of…

A: Draw the position diagram of the ant and the basket.

Q: A ship sets out to sail to a point 142 km due north. An unexpected storm blows the ship to a point…

A:

Q: ows with a velocity boat and the time

A: Given as,

Q: Your dog is running around the grass in your backyard. He undergo 11.0 west. What is the magnitude…

A: GivenDisplacement of dog4 m south11.3 m northeast11 m west

Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: 3. Determine the magnitude of the resultant R and its direction. 100 N 75 N 30° 30 R= 60° 45° e=. 60…

A:

Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given:- An incoming missile passes directly above the defense base. Radar at the base can measure…

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.