The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment
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- The vertical and horizontal poles at the traffic-light assembly are erected first. Determine the additional force and moment reactions at the base O caused by the addition of the three 120-lb traffic signals B, C, and D. Report your answers as a force magnitude and a moment magnitude. 27" 38' 27' 120 lb 120 Ib 120 lb Answers: O = i Ib Mo = i Ib-ft(a) A 19.0 kg child is riding a playground merry-go-round that is rotating at 45.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 3.00 m from its center? (Enter a number.) (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center? (Enter a number.) (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) (force from (b))/(weight)At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders "plastered" against the wall. Suppose the radius of the room is 3.75 m and the speed of the wall is 10.4 m/s when the floor falls away. The source of the centripetal force on the riders is the normal force provided by the wall. (a) How much centripetal force acts on a 62.2 kg rider? (b) What is the minimum coefficient of static friction that must exist between the rider's back and the wall, if the rider is to remain in place when the floor drops away?
- (a) A 49.0 kg child is riding a playground merry-go-round that is rotating at 30.0 rev/min. What centripetal force (in N) is exerted if he is 1.25 m from its center? (Enter the magnitude.) N (b) What centripetal force (in N) is exerted if the merry-go-round rotates at 2.0 rev/min and he is 8.00 m from its center? (Enter the magnitude.) N (c) Compare each force with his weight. (Enter the ratios of the magnitudes.) F(a) %3D (9). WYour go karts have a mass of 450kg and travel around a circular curve on a flat, horizontal track at a radius of 42 m. b) The maximum frictional force between the tyres and the road is equal to 20% of the weight of the car and driver. Calculate the coefficient of friction when an adult of mass 70kg is driving the kart. I BELIEVE THIS WOULD BE 0.02 (2DP) c) Calculate maximum angular velocity at which the car can travel round the curve at a constant radius of 42 m (NEED HELP UNDERSTANDING THE STEPS TO THIS ANSWER PLEASE?)In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the fastest spinner on ice skates. She achieved a record 342 rev/min, beating the existing Guinness World Record by 34 rotations. If an ice skater extends her arms at that rotation rate, what would be her new rotation rate? Assume she can be approximated by a 45-kg rod that is 1.7 m tall with a radius of 15 cm in the record spin.With her arms stretched take the approximation of a rod of length 130 cm with 10% of her body mass aligned perpendicular to the spin axis. Neglect frictional forces.
- A boy with a mass of 31.0 kg slides down the slide shown below. At the moment shown, the radius of the slide is 1.29 m, his angular position is determined by 0 = (0.65t) rad, and his vertical position is determined by 2 = (-0.4t) m, where t is in seconds. What is the radial force, F, acting on the boy at t = 1.1 s? Assume the boy's size can be neglected.A car is driving through a valley that is circular near the bottom. Which force diagram is most appropriate for the moment pictured below? a 17:11Integrated ConceptsWhen kicking a football, the kicker rotates his leg about the hip joint. (a) If the velocity of the tip of the kicker’s shoe is 35.0 m/s and the hip joint is 1.05 m from the tip of the shoe, what is the shoe tip’s angular velocity? (b) The shoe is in contact with the initially stationary 0.500 kg football for 20.0 ms. What average force is exerted on the football to give it a velocity of 20.0 m/s? (c) Find the maximum range of the football, neglecting air resistance.