*15-104. A 4-lb ball B is traveling around in a circle of radius = 3 ft with a speed (VB)1 = 6 ft/s. If the attached cord is pulled down through the hole with a constant speed 2 = 2 ft/s, determine how much time is required for the ba to reach a speed of 12 ft/s. How far r, is the ball from the hole when this occurs? Neglect friction and the size of the bal %3D Vr B =3 ft (VB)1 = 6 ft/s v, = 2 ft/s

The helical path is wound around the circular cylinder with radiusR . The step h= 2*pi*R. The object A is sliding through the path guide under gravity (acting in the negative zdirection). There is no air resistance 1)Draw the force diagrams in (theta ,Z ) plane (tangent to the cylinder) and in( r,theta ) plane. 2) If the initial speed is 0, find the speed after 3 full circles. Given: R, g, m, u.[Hint: Use the work-energy principle.]

The 250-N block rests upon a level plane for which fk = 0.2. It is pulled by force P = 100N inclined at 20o with the horizontal. Find the velocity of the block after it moves 20m starting from rest. the answer must be 3 decimal places.

The 900-lb roller coaster car starts from rest on the track having the shape of a cylindrical helix as shown in figure. The normal force of the tracks on the car has a transverse component of N(theta)=68 lb. A). Determine the transverse component of its velocity in t=4s. Neglect the size of the car. B). What is the car's velocity when it descends 8 ft? Neglect size of the car. I need handwritten only or else skip I'll dislike only handwritten or dislike

The collar with mass of 0.7 kg is released from rest at position A and travels down the smooth circular rod in the vertical plane. If the velocity of the collar at Point C is 3.3 m, determine the tangential component of acceleration of the collar (in m) at Point C. The spring has a stiffness of k = 140 N and an unstretched length of 0.5 meters. Consider R = 1.7 meters, 0 = 33°, and g =10 A m R/2 D В R

* 5. In preliminary design studies for a sun- powered car, it is estimated that the mass of the car and driver will be m kg and the torque produced by the engine will result in a F, newton tangential force on the car. Suppose that the car starts from rest on the track at A and is subjected to a constant Ft newton tangential force. Determine the magnitude of the car's velocity and the normal component of R m END B A START l m Figure 5. force on the car when it reaches B. m = .15.. kg Fe .newton .m R = 31.25

14-27. The "flying car" is a ride at an amusement park which consists of a car having wheels that roll along a track mounted inside a rotating drum. By design the car cannot fall off the track, however motion of the car is developed by applying the car's brake, thereby gripping the car to the track and allowing it to move with a constant speed of the track, v, = 3 m/s. If the rider applies the brake when going from B to A and then releases it at the top of the drum, A, so that the car coasts freely down along the track to B (0 = 7 rad), determine the speed of the car at B and the normal reaction which the drum exerts on the car at B. Neglect friction during the motion from A to B. The rider and car have a total mass of 250 kg and the center of mass of the car and rider moves along a circular path having a radius of 8 m. 8 m

The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.

0.6*K2 m- K1 m/s K1=2 К2-8 K4=2 k=50*K4 N/m B 4- The 2 kg smooth cylinder collar has a downward speed K1 m/s when it is at s=0 m. The natural length of the spring is 0.3*K2 meters and it has a spring constant of 50*K4 N/m. As the collar goes down with the specified initial velocity, it stops momentarily when s = Sg. a. Determine a datum point on the figure b. Calculate the initial kinetic energy of the system c. Calculate initial elastic and gravitational potential energy of the system d. Calculate the kinetic energy when s = Sg. e. Determine the Sg value using the conservation of energy. f. Calculate elastic and gravitational potential energy of the system s = Sg.

The 4-lb collar is compressed against a spring a distance of 6 inches and then releasedfrom rest. The spring can be considered elastic and has a constant of k = 10 lb/in. Thespring is not adhered to the collar, and can be considered massless, so it will notextend into tension.   Plot the acceleration of the collar as a function of x for x = 0 to 7 inches.What is the velocity as the collar leaves the spring?