What weight w is necessary to start the system of blocks shown, if blocks slow moving at constant speed to the right. The coefficient of friction is 0.15 on all surfaces, and the pulleys are assumed to be frictionless. 700 kN B 800 kN A 30°
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moving at constant speed to the right. The coefficient of friction is 0.15 on all
surfaces, and the pulleys are assumed to be frictionless.
700 kN
B
800 kN
C
w
A
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- (a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) m = 47 kg CG Fe reaction 0.85 m 1.42 m N (b) How much work (in J) does she do if her center of mass rises 0.220 m? (c) What is her useful power output (in W) if she does 24 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.)1) Prof. K. climbed a wall and is now stuck and hungry. One of her ME 242 students saw this opportunity to test one of their pulley mechanisms to lift some pizza boxes for Prof. K. If the student is pulling the free end with a velocity of 2.75 ft/s. a) What is the mechanical advantage between the student and the pizza boxes? Hint: The link between pulleys 1 and 4 is rigid (meaning that they must move together. This is the key to solving this problem! b) What is the velocity of the pizza boxes? Be sure to indicate which direction it is moving. [Ans. to check: 1.375 ft/s] 2 1 TTT PizzAFind the minimum height h1 that will allow the cart in the figure to make it around the loop at h2 if h2 = 12.5 m . Approximate the cart as a point mass and treat the surface as frictionless.
- The orienting track of a bowl feeder consists of one device (X). The part has four natural resting positions. The device efficiency matrix and the initial distribution matrix are below. Parts enter the track at the rate of 170 min. How many parts exit device-X in position 3 per minute? (One place of decimal) INITIAL DISTRIBUTION MATRIX Position P1 P2 P3 P4 Bowl 0.41 0.18 0.29 0.120 DEVICE-X TRANSITION MATRIX 0.50 P13 0.49 P23 0.19 0.29 P33 0.18 0.37 P43 0.15 1 Note: Each row must sum to 1. Therefore P13, P23, P33 AND P43 ARE 1-Sum(All other row cells)A Block-Spring System A block of mass 1.0 kg is attached to horizontal spring that has a force constant of 2,000 N/m as shown in figure (a). The spring is compressed 3.0 cm and then released from rest as in figure (b). (a) A block attached to a spring is pushed inward from an initial position x -0 by an external agent. (b) At position x, the block is released from rest and the spring pushes it to the right. x = 0 (For the following, when entering a mathematical expression, do not substitute numerical values; use variables only.) (a) Calculate the speed of the block as it passes through the equilibrium positio x = 0 if the surface is frictionle SOLUTION Conceptualize This situation has been discussed before, and it is easy to visualize the block being pushed to the right by the spring and moving with some speed at x = 0. Categorize We identify the system as the block and model the block as [--Select-- Vsystem. Analyze In this situation, the block starts with v, = 0 at x, = -3.0 cm, and…A merry-go-round on a playground consists of a horizontal solid disk with a weight of 795 N and a radius of 1.53 m. A child applies a force 50.5 N tangentially to the edge of the disk to start it from rest. What is the kinetic energy of the merry-go-round disk (in J) after 3.05 s? J Submit Answer
- A 0.50-kg object moves in a horizontal circular track with a radius of 2.5m. An external force of 3.0N, always tangent to the track, causes the object to speed up as it goes around. The work done by the external force as the mass makes one revolution is: 0. 47J 59J 94J O 122JThe puck in the figure below has a mass of 0.132 kg. Its original distance from the center of rotation is 40.0 cm, and it moves with a speed of 90.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. Hint: Consider the change in kinetic energy of the puck.A car with a mass of 1020 kg is traveling in a mountainous area with a constant speed of 64.9 km/h. The road is horizontal and flat at point A, horizontal and curved at points B and C. A B IC IB The radii of curvatures at B and C are: rg = 130 m and rc = 120 m. Calculate the normal force exerted by the road on the car at point A. Submit Answer Tries 0/12 Now calculate the normal force exerted by the road on the car at point B. Submit Answer Tries 0/12 And finally calculate the normal force exerted by the road on the car at point C.
- Please Show step by step solutionPlease help with this homework problem. Show all worka) For each of the weightless and frictionless pulley systems (a) to (e) in Figure Q5a: Determine the tension (T) required to lift and hold a 1450 N crate in static equilibrium for each of the pulley systems (a) to (e). Use g = 9.81 m/s2 and give your answers in newtons (N) to two decimal places. (i) Determine the ideal mechanical advantage (IMAPulley) for each of the pulley systems (a) to (e). (ii) (iii) Determine the reaction force where the pulley wheel is connected to the ceiling for each of the pulley systems (a) to (e). Use g = 9.81 m/s² and give your answers in newtons (N) to two decimal places. (a) (b) T (c) T (d) T (e) T