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- a. Consider a man running through the equator, with what velocity (direction and magnitude) shouldhe run so that he attain the minimum possible weight? Please explain understandably.b. A wheel on an extremely low friction slanted surface will slide without rotating. However, if thesame surface is rough and having some friction the wheel will roll down (with rotation). Explainwhy and how, using free body diagram.e.co CU ct sona- n ect Pool artment... W 24,919 8. A mass m₁ = 9.00 kg is connected by a light string that passes over a pulley of mass M = 14.0 kg to a mass m₂ = 12.5 kg sliding on a horizontal frictionless surface (see figure). There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₂? (The moment of inertia of the pulley is ½/Mr².) N # 3 20 $ 4 R 999 F4 % 5 FS ^ 6 tv © MacBook Air Y & 7 m₂ F7 * 8 Dall 1 ( 9 M m₁ A 02 DD ) 0 P ISULI H by mi 04 M vauies or roe pufferH.W Replace the loading system by an equivalent resultant force FR and couple moment MR, acting at point A. 40 N 30 N 2000 N m B 3 m 3 m 50 N
- A 6.5 kg block is placed on a frictionless surface, conneted to an unknowm mass, and arranged as shown. The unknown mass falls from rest a distance 2.4 m, acheiving a speed of 4 m/s. a. Determine the unkown mass. b. Find the tension in the string.Consider the system shown in the figure below with m1-20 kg, m2-12.5 kg. R-0.2 m, and the mass of the puilley M-5 kg. Object m2 is resting on the floor, and object m1 is 4 m above the floor when it is released from rest. The pulley axis is frictionless. The cord is massless, does not stretch, and does not slip on the pulley. a. Calculate the time interval required for m1 to hit the floor. b. How would your answer change if the pulley were massless?3. A 5.0-g bullet travelling at 625 m/s strikes a block, causing it to move back by 6.0 cm before stopping. Assume that the stopping force is constant.
- A rope attached to a 500-lb block passes over a fric- tionless pulley and is wrapped for one full turn around a If the coefficient of frie- tion between the rope and the post is 0.25. determine fixed post as shown in Fig. The minimum force P that must be used to begin to raise the block. P WConsider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.H.W: Two blocks connected by a cord passing over a small frictionless pulley rest on frictionless plane, as in fig. below, (a)which way will the system move? (b)what is the acceleration of the block (c)what is the tension in the cord? Ans.(a) To left (b)0.65m/s² (c)43.37N N-100Neut. 7 ī N=50Neut my 50.10 Kg) m₂. 10.20 Kg
- Consider the baby being weighed in the following figure. (a) What is the mass of the infant and basket if a scale reading of 55 N is observed? (b) What is tension T1in the cord attaching the baby to the scale? (c) What is tension T2, In the cord attaching the scale to the ceiling, If the scale has a mass of 0.500 kg? (d) Sketch the situation, indicating the system of interest used to solve each part. The masses of the cords are negligible.Two small forces, F1=2.40i6.10tj N and F2=8.50i9.70j N , are exerted on a rogue asteroid by a pair of space tractors. (a) Find the net force. (b) What are the magnitude and direction of the net force? (c) If the mass of the asteroid is 125 kg, what acceleration does it experience (in vector form)? (d) What are the magnitude and direction of the acceleration?H.W If m, = 4.00 kg, m, =3.00 kg, and F=9.00 N, find the magnitude of the acceleration of the system and the magnitude of the contact force. Answer ax = 1.29 m/s2, P= 3.86 N.