Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. 230 N 420 mm 420 mm 130 N 420 mm 270 N Answers: Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. R = i M = i N•m Single resultant force. mm = p A-
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- Question 23 Two frisky otters slide down frictionless hillsides of the same height but different slopes. The slope of the hill of otter 1 is 30°, while the slope of the hill of otter 2 is 60°. If both start from rest, which otter is moving faster when she reaches the bottom of her hill? O The otter that took the shorter time is moving faster. O Otter 2 is moving faster. O The heavier otter is moving faster, no matter which hill she used. O Otter 1 is moving faster. O Both otters have the same speed at the bottom.Question 2 Figure 2 shows a 2-story steel frame with h = 4 m and b = 6 m, determine the equivalent horizontal forces (EHF) for both floors under the following actions: Dead load = 20 kN/m Imposed load = 12 kN/m Students can make their own rational assumptions for any information which they think is required but not provided. Clear state the assumptions and the corresponding justifications. W W b Figure 2 hReplace the three forces which act on the bent bar by a force-couple system at the support point A. Then determine the x-intercept of the line of action of the stand-alone resultant force R. The couple is positive if counterclockwise, negative if clockwise. y 2350 lb 4.9' 1070 Ib •A B. 31° •D E 2.4' 790 Ib 4.5' Answers: Force-couple system at A R= ( i i+ i j) Ib MA = i Ib-ft Stand-alone resultant X = i ft
- In the figure the pulley has negligible mass, and both it and the inclined plane are frictionless. Block A has a mass of 1.3 kg, block B has a mass of 2.2 kg, and angle 0 is 32°. If the blocks are released from rest with the connecting cord taut, what is their total kinetic energy when block B has fallen 28 cm? Number Units BS 3 aluations What magnitude force is required to give a helicopter of mass M an acceleration of 0.10g upward? Express your answer in terms of the variable M and appropriate constants. F = Submit Part B 后 VE ΑΣΦ W = Request Answer MINNINMI MIXMM What work is done by this force as the helicopter moves a distance h upward? Express your answer in terms of the variables M, h, and appropriate constants. VG| ΑΣΦ ? WIKIN ?A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? unit | (magnitude) What is the cart's acceleration on the floor? 130cm unit (magnitude) How long does the cart take to reach the end of the ramp? 5° 200cm unit (timed from the release) How fast is the cart traveling as it hits the stopper? unit How long does the cart take to reach the stopper? unit (timed from the release) cannot be detern check answers challenge ne Calculator ound = 343m/s cant figures Rain to stop e here to search ACC t;320
- 1. Boxing gloves are padded to lessen the force of a blow. The glove and face compress 7.50 cm during a blow in which the 7.00-kg arm and glove are brought to rest from an initial speed of 10.0 m/s. Think & Prepare 1. Make note of what's given and what's unknown. Relate known quantities to symbols. 2. Draw a labeled sketch if possible. 3. Identify the physics principle and approach. Write down relevant equations symbolically. Simplify if possible. 4. Insert numerical quantities to solve for unknowns. 5. Does the answer make sense? (a) Calculate the change in kinetic energy of the glove and arm. Enter to 3 significant figures AKE= Note: AKE = KE final-KE initial (b) Where does this energy go? J into doing work against the force exerted by the face against the glove into doing work against gravity into the potential energy of the face O into the potential energy of the glove and arm (c) Calculate the force exerted on the boxing glove by the opponent's face. Consider the relative…A mechanic pushes a 2.90 ✕ 103-kg car from rest to a speed of v, doing 4,530 J of work in the process. During this time, the car moves 20.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car. (a) the speed v m/s (b) the horizontal force exerted on the car (Enter the magnitude.) NProblem 3: A force is acting on a block with a magnitude of F = 87 N. The force makes an angle of 0 = 19° with respect to the horizontal, as shown in the figure. Randomized Variables F = 87 N 0 = 19° F