Problem 2.140I A sprinkler essentially consists of a pipe AB mounted on a hollow shaft. The water comes in the pipe at O and goes out the nozzles at A and B. causing the pipe to rotate. Assume that the particles of water move through the pipe at a constant rate relative to the pipe of 5 ft/s and that the pipe AB is rotating at a constant angular velocity of 250 rpm. In all cases, express the answers using the right-handed and orthogonal component system shown. Determine the acceleration of the water particles right before they are expelled at B. Let d = 7 in., |ẞ = 15°, and L = 2 in. Hint: In this case, the vector describing the position of a water particle at B goes from O to B and is best written as 7 = "B B + r₂ k. úc B d

A motorcycle and rider have a combined mass of 350kg. The vehicle's velocity is 100 km/hr. The rider is to go up a hill incline of 10 meters. The wheels each have a mass of 20 kg and a diameter of 500mm. The wheel design consists of 6 spokes with a mass of 0.5 kg for each spoke. a. Determine the vehicle's velocity at the top of the hill, assuming it was a rolling vehicle with engine being turned off. a. Indicate the vehicle's velocity at each meter through the climb. b. Explain the transfer energy and how this affects the behaviour of the system. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: a) The angular velocity of each wheel. b) The moment of inertia of each wheel. c) The angular momentum of the wheel prior to entering the bend. d) The magnitude of the gyroscopic torque produced on the bike as the rider is driving around the bend. What is the effect and why is it important to calculate the gyroscopic…

● A 5 rad/s .2 rad/s² 3 ft X 3 rad/s -2 rad/s² B 2 ft 30⁰ с The robotic arm shown above has a fixed orange base at A and fixed length members AB and BC. Motors at A and B allow for rotational motion at the joints. Based on the angular velocities and accelerations shown at each joint (described with respect to the fixed frame): o Determine the velocity at the end effector at C o Determine the acceleration at the end effector at C

Bicycle wheels are manufactured having thin rims and tires of total mass D per unit length, and the spokes and axle may be ignored. Find the angular momentum of one bicycle wheel of radius r when the bicycle is traveling at velocity v, and hence comment upon whether you would prefer large wheels or small wheels to make a bicycle easiest to balance when riding it.

The force acting on the particle is equal to the rate of change of of the particle. Acceleration Velocity Linear momentum Impulse

A rocketship has 9 modules each with a mass of 15 200 kg and moves at a speed of 7.0 km/s. One of the modules is explosively propelled away from the rocketship at a speed of 1350 km/h with respect to the rocketship, opposite in direction from the original travel direction of the rocket ship.What is the resulting change in the speed of the rocketship?

6. Exercise 2.5.32 Block A is observed to be dropping down at a steady 0.9 ft/s. At what velocity must the free end of the pulley be moving? L

Figure Q3 shows a pulley system that involves a load m. Knowing that the cables at A and B are moving with a velocity of 6 m/s in the direction of the arrows, as shown in Figure Q3. Assess the direction and velocity of the load m.

I need the answer quickly

A man holds and drops the two equal masses without moving his arm’s length on a rotating table then the angular velocity is