P 30° y x Block A moves up the incline at a constant speed of 131 in/s. Pin P rotates counterclockwise in the circular slot in Block A at a speed of 18 in/s. Determine the magnitude of the velocity (in in/s) of Pin P relative to the fixed xy axes (i.e., horizontal, vertical), when 23⁰. Calculate your answer to one decimal place. Report your answer in units of in/s.
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- Spring break has just begun and Latonya boards a plane to visit her Grandma. Latonya flies 711.5 miles due East from City A to City B. After a short layover, Latonya flies 551.4 miles in a direction of 35.9° north of east from City B to City C. a. What is the magnitude of Latonya's resultant displacement between city A and city C? Resultant's magnitude miles b. What is the direction of Latonya's resultant displacement? Resultant's direction CCW from East Info Info Attempts: 0/00 Attempts: 0/00 Submit SubmitThe displacement of a vehicle (in meters) is given in Cartesian co-ordinates by: d = -2.4tââ + 4.7tŷ At t = 2.0 seconds, the displacement (in meters) of the vehicle in Polar co-ordinates would be given as d =. mî+ Part A The radial ( r) component would be: ? d = mê Submit Request Answer Part B The angular ( 0) component would be: ? d = Submit Request Answer 國3. An object is stuck at the origin. To get the object free, two forces are applied to the object. The first force, F, extends from the origin to position (-8,2). The second force, F2, acts on the object with a magnitude of 8 Newtons in the direction of 30°. You may assume units of distance are in meters. Represent the two force vectors, F and F2, in component form. Leave all answers in exact а. form. b. Draw a sketch of the two force vectors on the graph to the right. -5- с. If these two forces together free the object, in what direction and with what magnitude would the object travel? Round to one decimal -5 place as needed. -5
- wo vectors are defined in component form below. Use them to perform the following exercises. Note: £, §, and 2 are unit vectors of the Cartesian coordinate system defined by £ × 9 = z. S = - D Č = -152 + 82 D = -42 – 39 T = Č XD F = 5 le| = 17 Determine S. Show your ster Determine T. (Your answer should be an expression in component form.) Show your steps Determine the smallest angle between D and ý when they are drawn tail-to-tail.2.Please answer the following question(s): 1. Calculate the angle a person needs to lean from the vertical when 1. walking a 17 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = = 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = Use 1 mile = 1609.4 m ✓ O O
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