A jumper executes a standing jump from a platform that is moving upwards with constant speed Vp. (a) Derive a formula for the maximum elevation of the jumper's center of gravity in terms of the crouch depth, c, the equivalent force to weight ratio, Fequiv/ W, the platform speed, Vp, and other relevant parameters. The elevation of the center of gravity is to be measured with respect to a stationary frame of reference (i.e., one not attached to the platform). (b) If the crouch depth is 18 inches, the ratio Fequiv/ W is 2, and the platform speed is 5 ft/s, compute the elevation of the center of gravity.

Discuss the motion of the bead according to the equation of motionq¨2 − ω2sin2α q = −g cos αas completely as you can. Find explicit solutions. What will happen if the beadis slightly displaced from the point where it has no acceleration.

A student of weight 651 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force FN on the student from the seat is 589 N. (a) What is the magnitude of FN at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point? (a) Number Units (b) Number Units (c) Number Units

A body of mass m is projected with speed u in a medium that exerts a resistance force of magnitude (i) mk| v |, or (ii) m K| v |2, where k and K are positive constants and v is the velocity of the body. Gravity can be ignored. Determine the subsequent motion in each case. Verify that the motion is bounded in case (i), but not in case (ii).

Needs Complete typed solution with 100/% accuracy.

A bag is gently pushed off the top of a wall at A and swings in a vertical plane at the end of a rope of length I. Determine the angle 0 for which the rope will break, knowing that it can withstand a maximum tension equal to twice the weight of the bag.

A cart with mass 15.7 kg is intitally at rest. You get it moving by pushing on the cart at an angle of 0 = 37° as shown above. The magnitude of your force as a function of time is given by: Fyc(t) = Foe-bt, where b = 0.55 s-1 and Fo = 138.1 N. You can assume that the wheels roll perfectly on the ground. What is the speed of the cart when t = 3.3 s? Don't Know Where to Start? ... A Hint About N2L A Hint About the Proces ...... ........................ Vf = 10.25m/s

A 2.2-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 7.8 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. B 30 2.6' Answers: N = i Ib シ= i ft/sec2

A particle of mass 25 kg moves in a straight line such that the force (in Newtons) acting on it at time ₺ (in seconds) is given by 225 to +175 + + 200. If at time t = 0 its velocity, v (in ms-¹), is given by v(0) = 14, and its position (in m) is given by (0) = 10, what is the position of the particle at time t? l The position is m.

A mysterious force acts on all particles along a particular line and always points towards a particular point P on the line. The magnitude of the force on a particle increases as the cube of the distance from that point, that is, F∝ r3, if the distance from the P to the position of the particle is r. It has been determined that the constant of proportionality is 0.23 N/m3, i.e. the magnitude of the force on a particle can be written as 0.23r3, when the particle is at a distance r from the force center. Find the magnitude of the potential energy, in joules, of a particle subjected to this force when the particle is at a distance 0.21 m from point P assuming the potential energy to be zero when the particle is at P.  PE= ?