A boat is travelling along a circular path having a radius of 30 m. Determine the magnitude of boat's acceleration, a, when the speed is 5.7 m/s and the rate of increase in the speed is 7.5 m/s² Enter a1: m/s2 Enter a : m/s²

The motion of the collar at "A" is controlled by a motor at "B" such that when the collar is at SA = 3 ft it is moving upwards at 4 ft/s and is slowing down at 2 ft/s². Determine the velocity and acceleration of a point on the cable as it is being drawn into the motor "B" at this instant. 4 ft SA T A BO Ans. aB = 3.248 ft/s² 1

An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular track

A car travels along a horizontal circular curved road that has a radius of 600 meters. If the speed is uniformly increased at a rate of 0.15 m/s², determine the magnitude of the acceleration at the instant the speed of the car is 17 m/s. 0.15 0.23 0.25 0.48 0.5

A locomotive moves along a curved track of radius R=300m with uniformly varying velocity. The length of the curved track is l=200m. The velocity of the locomotive when it enters the track is vo=30km/h, and that when it leaves it is v₁=48km/h. Find its accelerations when it enters and leaves the curved track, respectively. S R

Determine the smallest radius that should be used for a highway if the normal component of the acceleration of a car traveling at 72 km/h is not to exceed 0.8 m/s2.

Consider the homogeneous rectangular plate with side lengths a = 9cm and b = 5cm. At a certain instant the velocity of point B is VB = 2.3j m/s and the velocity of point C is Vc = 5j m/s. Determine the speed of the corner point A (m/s) at this instant. Give answer to 3 decimal figures.

2. An object travels along a curved path as shown in Fig. 1. If at the point shown, its speed is 28.8 m/s and the speed is increasing at 8 m/s², determine the direction of its velocity, and the magnitude and direction of its acceleration at this point. Take p = 125 m. y 4 16 m Fig. 1

An aircraft performs a maneuver called an "aileron roll." During this maneuver, the plane turns like a screw as it maintains a straight flight path, which sets the wings in circular motion. If it takes it 35 s to complete the circle and the wingspan of the plane is 11 m, what is the acceleration of the wing tip? Express your answer in m/s².

A particle moving along a straight line has an acceleration which varies according to position as shown. If the velocity of the particle at the position x = -5 ft is v = 6 ft/sec, determine the velocity v when x = 12 ft. a, ft/sec2 -5 0. 7 10 12 x, ft -3 Answer: v = ft/sec CO