4. You are doing some food shopping for your family. You have a FULL cart of grod what it's worth (#itsimportant), the wheels on the shopping cart are really good. They spin very easily. Describe why the cart is more difficult to push when you are trying to get it started than it is while you are just walking along with it with constant speed. Force diagrams are always usually helpful.
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- 5. After subjecting the car design of a sun-powered car to wind tunnel testing, a group of engineer- ing students estimates the tangential component of the car's acceleration will be at = 0.6 -0.002² m/s², where v is the car's velocity in m/s. If the car starts from rest at A, what are the car's veloc- ity and acceleration in terms of normal and tan- gential components when it reaches B? | 200 m 50 m BA spherical glass bead of mass M and radius R is releasedfrom rest at the top of an inclined track (angle with thehorizontal) that ends in a curved section of radius r. Theglass bead rolls down the incline without slipping; there isfriction between the ramp and the glass bead. The momentof inertia of the glass bead is I = 2/5 MR2 Draw a force diagram for the glass bead on the ramp.Label all forces clearly Determine the linear acceleration of the marble when it is rolling down the incline. Your answer will be interms of theta and g . Determine the speed of the marble at the lowest point of the incline in terms of H and g.A 5.7 g quarter sits 25 cm from the axis of rotation on a turntable that has a period of rotation of 1.8 seconds. a) Draw a free-body diagram showing the forces involved. b) What is the weight of the quarter inNewtons? Round to the nearest hundredth. c) What is the NORMAL FORCE acting on the quarter. d) Determine the coefficient of static friction be in order to keep the quarter from sliding outward when the turntable is in motion?
- 2) A bucket of water is suspended at the end of a rope wrapped around a pulley. The pulley is pivoted on a frictionless axle passing through its center. The axle is attached to the ceiling. The bucket is released from rest and falls a distance of H. The inertia of the pulley is I = ½ MR?. M a. On the diagram above, show all the forces applied on the bucket and 'R pulley. b. Determine the linear acceleration of the bucket. c. Determine the angular acceleration, a of the pulley. d. Determine the tension force in the rope. m e. Determine the speed of the bucket at the end of distance H. f. Determine the force exerted on the pulley by the axle.lat ow 3. Three objects of equal mass, A, B, and C, are released from rest at the same instant from the same height on identical ramps. Objects A and B are both blocks, and they slide down their respective ramps without rotating. Object C rolls down the ramp without slipping. Its moment of inertia is unknown. All three objects are released from resti old lots B Objects A, B, and C are made of different materials, thus the coefficients of friction between the objects and their corresponding ramps are not necessarily the same. m = m, = mc Object A reaches the bottom of its ramp first, followed by objects B and C, which reach the bottom at the same instant. Rank the center-of-mass accelerations of objects A–C according to magnitude, from largest to smallest. If any objects have the same magnitude center-of-mass acceleration, state so explicitly. Explain. а. b. Rank the net forces exerted on objects A-C according to magnitude, from largest to smallest. If the magnitude of the net force on…