Practice Problems - Vectors and Trigonometry 1. Two horses on opposite sides of a narrow canal are pulling a barge along the stream. Each horse pulls with a force of 720 N. The ropes from the horses meet a a common point on the front of the barge. What is the resultant force exerted by the two horses if the angle between the ropes is: (a) 30° (b) 45° (c) 60°
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- Two 45-kg crates are located on a horizontal ground. Force P is applied to the crate P as shown in the (Figure 1). The coefficient of static friction between each crate and the ground is μ = 0.31. Figure Part A P = Determine the maximum force P that can be applied without causing the crates to move. Express your answer to three significant figures and include the appropriate units. O HÅ B Value Units 30° ? 1 of 1Two cables are joined at A and loaded as shown. Determine the forces in cables AB and AC. B 160° A 80kg 45°Part A Make a free-body diagram of the box B. Draw the force vectors with their tails at the dot. Part B Make a free-body diagram of the box A. Draw the force vectors with their tails at the dot.
- Q1: The two forces shown act at point A of the bent bar. Determine the resultant R of the two forces. F1 = 3 kips 30° A F2= 7 kips 45° L.The two trees in (Figure 1) are 7.1 m apart. A backpacker is trying to lift his 29-kg backpack out of the reach of bears. Part A Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 1.3 m. Express your answer to two significant figures and include the appropriate units. F = Submit Part B for Part A for Part do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Value F = Request Answer Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 0.13 m. Express your answer to two significant figures and include the appropriate units. Units Value for Part B for Part B do for Part th redo for Part B resetor Part B keyboard shortcuts for Part B help for Part B Units30° 45° B 4.1 Draw a rough sketch of the triangle of forces, and use it to explain which string will break first. 4.2 Determine the maximum weight of X which can be supported Dr AN Gounden
- Can i get help with these problemsA 1500-kg barge is being towed by means of two horizontal cables. One cable is pulling with a force of 90.0 N in a direction 25.0° west of north. Assume that the water exerts no appreciable frictional drag on the barge. Determine the following, showing all your steps clearly: a. In what direction should the second cable pull so that the barge will accelerate northward, if the force exerted by the cable is 130 N? Give your answer as an angle relative to north and state which direction (east of north or west of north). b. What is the acceleration that the barge moves north with? c. How far does it move in the first 15 seconds?1. A 20,000 pound truck is parked on a 15° slope. Find the force required to keep the truck from rolling down the hill (that is, find the magnitude of the vector component of the weight of the truck that is parallel to the slope). 2.Determine the vector v with magnitude of 30 that makes an angle of 120° with the positive xaxis. State the vector in either ordered set or unit vector notation with components written as exact values (simplified radical form).