Question

g vluelty 1im/s,0,-2m/s), and its mass is 0.5kg? sr=13 m, 5 m,--2 m Consider a rider on a Ferris wheel of radius R that s in the xz plane and is rotating clockwise with angu- lar velocity W. At every instant, then, a person riding or ider of mass m who at a certain instant is passing the (a) At that instant, what is the magnitude and direction of (b) What is the magnitude and direction of the rider's wheel's rim is moving with speed R|. Consider first highest point on the ride. Let O be the wheel's center. the rider's linear momentum p? position vector relative to O? (c) What are the magnitude and the direction of F1? (d) What is the plane defined by the vectors p and ?? (e) What are the magnitude and the direction of the rider's angular momentum L about O at that instant? (n) Write out the components of the vectors i and p in the specified reference frame and use the component definition of the cross product to calculate L. Is your answer the same you found in part (e)? Suppose the wheel then rotates e 45 clockwise so that the rider's position r is [R sin θ, 0, R cos θ] VIR, 0, R] (g) What are the magnitude, direction, and components of the rider's linear momentum p now? (h) What is the magnitude and direction of F1? (G) What is the plane defined by ř and p now? () What is the magnitude and direction of the rider's (k) Use the component definition of the cross product to angular momentum L about O now? check your answer for part ).