A 15.0 kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.0 kg counter weight is attached to the other end of the rope, as shown in the figure. You may model the rope as a massless string. The system is released from rest. A. Draw two freebody diagrams, one for the load of bricks and one for the counter weight. 28.0 kg B. Find the magnitude of the upward acceleration of the load of bricks. C. What is the tension in the rope? 15.0 kg
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- HW1.4. 2D Moment resultant Two forces lying in the x-y plane are defined by their magnitudes and direction angles, as shown in the figure below. Force F₁ has a magnitude F₁ = 360 N, an angle 0₁ = 109°, and acts at point A (310, 0) mm. Force F₂ has a magnitude F₂ = 270 N, an angle 02 = 56°, and acts at point B = (0,385) mm. Determine the total moment about point O due to these two forces. Remember to follow the standard sign convention for clockwise (-) and counter-clockwise (+) moments. y B 10 02 F₂ F₁ A 0₁ X TEGINGEN1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or –Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider can move without slipping down the wall?a. What is the the largest moment at any of the points resulting from all the load combinations? b. What is the the smallest (largest negative) moment at any of the points resulting from all the load combinations? Give the result in absolute value.
- A 29-gg rifle bullet traveling 230 m/sm/s embeds itself in a 3.3-kgkg pendulum hanging on a 3.0-mm-long string, which makes the pendulum swing upward in an arc 1. Determine the vertical component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units. 2. Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units.A 72.5-kg person is riding in a car moving at 18.5 m/s (assume this is the positive direction) when the car runs into a bridge abutment. This problem will illustrate why the invention of the airbag dramatically improved the safety of automobiles. a. Calculate the horizontal component of the average force, in newtons, on the person if he is stopped by a padded dashboard that compresses an average of 0.85 cm. b. Calculate the horizontal component of the average force, in newtons, on the person if he is stopped by an air bag that compresses an average of 16 cm?The mass of the wire is 47 g and the length of the wire is 2.4 m. Determine the x-coordinate for the center of mass in meters. 1.Write an expression for the center of mass XCM of the wire about the x-axis. 2.Write an expression for the center of mass YCM of the wire about the y-axis. 3.the mass of the wire is 47 g and the length of the wire is 2.4 m. Determine the x-coordinate for the center of mass in meters.
- At an amusement park, Keenan is in a 96.0 kg bumper car moving to the right at a speed of 3.50 m/s. He collides with his friends who are in a 135 kg bumper that is at rest. Keenan bounces backward at a speed of 1.25 m/s. a. What is the new velocity (magnitude and direction) of his friends? b. Calculate if kinetic energy is conserved during this collision.A rifle with a barrel length of 60 cm fires a 15 g bullet with a horizontal speed of 350 m/s. The bullet strikes a block of wood and penetrates to a depth of 13 cm. You may need to review (Page). For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Ready for takeoff. Part A What resistive force (assumed to be constant) does the wood exert on the bullet? Express your answer with the appropriate units. Part B. How long does it take the bullet to come to rest after entering the wood? Express your answer with the appropriate units.The parking brake on a 1000 kg Cadillac has failed, and it is rolling slowly, at 1 mph, toward a group of small children. Seeing the situation, you realize you have just enough time to drive your 2000 kg Volkswagen head-on into the Cadillac and save the children. Part A With what speed should you impact the Cadillac to bring it to a halt? Express your answer in miles per hour. V= ΕΙ ΑΣΦ ? mph
- A system consists of three blocks with masses on a frictionless surface as shown in the figure below. Image size: s ML Max Part a The three blocks (from left to right in the figure) have masses of 3.51 kg, 1.09 kg and 7.17 kg. The leftmost block has a velocity of 3.34 m/s toward the right, the center block is stationary, and the rightmost block as a velocity of 2.71 m/s toward the left. Assuming movement toward the right is positive, what is the center of mass velocity of this system as pictured (prior to collision)? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here m/s No answer submitted 0 of 3 attempts used CHECK ANSWER Part b !!! Contents Back Scroll To Top 13 PAGES NOV W 25Use g = 10 m/s/s in the following problems. A). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark and hang 100 grams at the 40 cm mark. How much mass must you hang at the 90 cm mark to balance the system? B). A 250 gram meter stick has a center of mass at the 50 cm mark. You place a pivot at the 50 cm mark, hang 100 grams at the 40 cm mark and hang 200 grams at the 30 cm mark. How much mass must you hang at the 90 cm mark to balance the system?The three homogeneous rods shown in the figure below are welded together at O to form a rigid body. The length of A, B,and C are 1.2 m, 2.4 m, and 3.3 m respectively. The mass of A, B, and C are 1 kg, 2 kg, and 3 kg. Find I in kg.m2. C- A B y Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.