The roller coaster car has a mass of 700 kg, including its passenger. It is released from rest at the top of the hill A. Neglect friction, the mass of the wheels, and the size of the car. Take hg = 18 m, PB = 9 m, ho = 10 m, and PC = 5 m. (Figure 1) Figure 1 of 1 hc

5. Cart A had a mass of 250g, and it rolled down an incline before it caught up to cart B which had a mass of 350g. Cart A started from rest, 1.00m vertically above the level of cart B. Cart B was moving at 1.50m/s [right] before cart A collided with it. Cart B has a compression-spring connected to its rear side so that Cart A compresses the spring as it collides with Cart B. The spring constant of the compression spring was 200.0N/m. a. Determine the maximum compression of the spring as the carts collide b. Determine the velocities of each of the carts once the spring has completely recoiled

An electric motor M is used to reel in cable and hoist a bicycle into the ceiling space of a garage. Pulleys are fastened to the bicycle frame with hooks at locations A and B, and the motor can reel in cable at a steady rate of 20 in./sec. At this rate, how long will it take to hoist the bicycle 7.9 feet into the air? Assume that the bicycle remains level.

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Am = 12 kg particle is moving along a horizontal path defined by the equations r= (4.5.t+13) m and = = (4.5-t2-3) rad, where t is in seconds. Using equations of motion in cylindrical coordinates, a. Determine the radial force component at the instant t = 5 s, Fr. b. Determine the transverve force component at the instant t = 5 s, F. c. Determine the magnitude of the resultant force at the instant t = 5 s, FR Round your final answers to 3 significant digits/figures. Fr= Fe= FR = N N N

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Figure 6.35 shows a proposed roller-coaster track. Each car starts from rest atpoint A, where ya = 21 mand it will roll freely without friction along the track.It is important that there be at least some small normal force exerted by thetrack on the car at all points; otherwise, the car will leave the track. What is the minimum safe value for the radius of the curvature at point B?

Consider the given pulley system. The rope is drawn towards the motor with a speed of 3 m/s. What is the speed of mass A and in what direction is it moving?

4. A loading car is at rest on a track forming an angle of 25° with the vertical when a force is applied to the cable attached at C. The gross weight of the car and its load is 5465 lb WG, and it acts at point G. Know the tension in the cable connected at C is 5000 Ib Tc. Neglect friction between the car and the track. Determine how far the car travels in 15 seconds. Model this as a particle at G. 24 in. B 25 in. 30 in. 25 in.

A force of P = 340 N is applied to the 70-kg cart. The mass center of the cart is at G   Determine the reaction at both the wheels at A. Determine the reaction at both the wheels at B. What is the acceleration of the cart?