Answered: A 1 kg ball initially travelling at 7… | bartleby

Related questions

Question

A 1 kg ball initially travelling at 7 m/s strikes on the lower end of a 5 kg bar AB, as shown in Figure Q2(a). The bar is hinged at A and is initially at rest. The coefficient of restitution between the rod and sphere is 0.7.

(i) Determine the angular velocity of the bar and the velocity of the ball immediately after impact.

A
L/2
L=800 mm
7 m/s
B
Figure Q2(a)

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Q4.) A 10 g bullet traveling at 450 m/s strikes a 10 kg, 820 mm-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. How long does it take for the door to swing open 90° assuming negligible friction at the hinge? Q5.) A merry-go-round spins with a period of 1 second. It consists of a cylindrical disk with m=100 kg and radius = 1.5 m. You jump on the merry-go-round with a running start. Draw a picture to indicate where you should aim to land on the merry-go-round and the best angle of approach in order to achieve the largest possible change in angular momentum. If you weigh 70 kg, what is the minimum speed you must run in order to make it spin with the same speed in the opposite direction?
A 95.5 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.75 rad/s. A monkey drops a 8.65 kg bunch of bananas vertically onto the platform. They hit the platform at of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 22.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.79 m. angular velocity: rad/s about us careers privacy policy terms of use contact us help
A 87.5 kg horizontal circular platform rotates freely with no friction about its center at an iñitial angular velocity of 1.53 rad/s. A monkey drops a 8.75 kg bunch of bananas vertically onto the platform. They hit the platform at of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.1 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.55 m. angular velocity: rad/s
A physics 70 kg professor stands at the center of a frictionless turntable with arms outstretched (the length of each arm is 1.2 m) and a 2 kg dumbbell in each hand. He is set rotating about the vertical axis at 2.5 rad/s. Calculate the angular velocity if he pulls the dumbbells into his stomach (assume that both dumbbells are over the axis of rotation). Moment of intertia was not given
Two astronauts (figure), each having a mass of 76.0 kg, are connected by a d = 9.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s. CM d (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. kg • m2/s (b) Calculate the rotational energy of the system. k) (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? kg • m2/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ
Two astronauts each having a mass of 75kg are connected by a 10m rope of negligible mass. They are isolated in space, orbiting thier center of mass at speeds of 5 m/s. a) Treating the astronauts as particles, calculate the magnitude of the angular momentum and the rotational energy of the system b) By pulling on the rope, one of the astronauts shortens the distance between them to 5m. What is the new angular momentum of the system?
Two astronauts, each having a mass of 75.5 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Center of gravity (a) the magnitude of the angular momentum of the system kg-m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg-m²/s (d) What are their new speeds? m/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? kJ
Problem 5) (Conservation of angular momentum) Before A merry-go-round with a radius of 2.5 meters and mass of M = 175 kg has an angular velocity of 0.5 rev/s. A boy with a mass of m = 25 kg runs and jumps tangentially on the edge of the merry- go-round and holds on the rail. What is the final angular speed of the boy+merry-go-round? (Hint: the initial angular momentum of the kid is mass times velocity times the radius, i.e., mvr, and his final moment of inertia is mr?). [
5) A disk of mass m = 75.0 g and radius r = 4.20 cm glides across an air table at a speed v = 1.5 m/s. It makes a glancing collision with a hoop of radius R = 5.80 cm and mass M = 130 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the two objects stick together and rotate after the collision. a) What is the angular momentum of the system relative to the center of mass? b) What is the angular speed about the center of mass?
We will assume that the velocity of Juan's hand and the pencil were both 0.9 meters per second prior to impact and that his wrist added an angular velocity to the pencil of 7.4 radians/second. In reality the pencil dug in nearest to my thumb and did not poke through the back. For the purpose of this calculation we will instead say that the blue pencil of mass M and length of L pushed through my hand until 20% of its length was behind the hand. We will further assume that the normal force between the hand and the pencil was 120 Newtons and that the area of the point of the pencil was 0.0024mm2. The coefficient of kinetic friction between the pencil exterior and my flesh was 0.24 because I was running a slight fever and had a temperature of 102 degrees Fahrenheit. Write an expression for dm: dm = Write the result for the Moment of Inertia: I = The formula for Moment of Inertia in the form of an integral: I = ∫ Write an expression for the upper limit of the integral: Upper Limit…
Two astronauts (figure), each having a mass of 76.0 kg, are connected by a d = 11.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.50 m/s. CM d (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. |kg · m²/s (b) Calculate the rotational energy of the system. kJ (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? |kg · m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? kJ Need Help? Read It Master It
(a) Calculate the angular momentum (in kg·m2/s) of an ice skater spinning at 6.00 rev/s given his moment of inertia is 0.410 kg·m2. kg·m2/s (b) He reduces his rate of spin (his angular velocity) by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kg·m2) if his angular velocity drops to 2.05 rev/s. kg·m2 (c) Suppose instead he keeps his arms in and allows friction with the ice to slow him to 3.00 rev/s. What average torque (in N·m) was exerted if this takes 16.0 seconds? N·m

SEE MORE QUESTIONS