question in the picture **Pulley System Problem**You need to lift a very heavy pile of bricks to a second story window. You fix a pulley 30 ft high. A rope connects the bricks to your truck through the pulley. The truck starts right beneath the pulley and slowly drives away from the bricks at a rate of 3 ft per second to lift the bricks._See diagram for reference._**Diagram Explanation:**A pulley is mounted 30 feet above the ground. A truck is positioned directly below the pulley. A rope runs from a pile of bricks, up to the pulley, and then to the truck. As the truck moves horizontally, the bricks are lifted off the ground.**Questions:**(a) After 4 seconds, how fast is the angle θ between the bricks and the truck growing?(b) After 4 seconds, how fast is the diagonal distance from the truck to the pulley growing?(c) After 4 seconds, how fast are the bricks rising in the air?

Analyze the following diagram. a) The angle between the truck and bricks can be found as, Here, H and x represent the pully’s height and distance moved by truck, respectively. The rate at which the angle is growing can be found by differentiating both the sides with time, Here, s represents the truck’s speed. The distance moved by the truck after 4 s can be found as, Here, t represents the time taken to move this distance. Substitute the relevant values. Now, the angle between the truck and bricks can be found as, Substitute the relevant values. Substitute the relevant values in equation (1). Thus, the angle is growing at a rate of 0.086 degrees per second. b) The diagonal distance between the truck and pully can be represented as, The rate of change of the diagonal can be found as, After 4 s, the diagonal distance can be found as, Substitute the relevant values in equation (2). Thus, the rate at which the diagonal distance grows is 1.11 ft/s. c) The length of the rope is constant at any time it can be given as, Here, L and l represent the rope’s total length and length of the rope from pulley to the bricks, respectively. Differentiating both sides with time. Substitute the relevant values. Thus, the bricks are rising at a rate of 1.11 ft/s.

Science

Physics

You need to lift a very heavy pile of bricks to a second story window. You fix a pulley 30 ft high. A rope connects the bricks to your truck through the pulley. (See diagram). The truck starts right beneath the pulley and slowly drives away from the bricks at a rate of 3 ft per second to lift the bricks. 22.31 (a) After 4 seconds, how fast, is the angle 0 between the bricks and the truck growing? (b) After 4 seconds, how fast is the diagonal distance from the truck to the pulley growing? (c) After 4 seconds, how fast is are the bricks rising in the air?

You need to lift a very heavy pile of bricks to a second story window. You fix a pulley 30 ft high. A rope connects the bricks to your truck through the pulley. (See diagram). The truck starts right beneath the pulley and slowly drives away from the bricks at a rate of 3 ft per second to lift the bricks. 22.31 (a) After 4 seconds, how fast, is the angle 0 between the bricks and the truck growing? (b) After 4 seconds, how fast is the diagonal distance from the truck to the pulley growing? (c) After 4 seconds, how fast is are the bricks rising in the air?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

An object of height 10 cm, and an image of it was formed using a concave mirror with magnification M = 5, what is the image's height? Write the answer in centimeters without units
P ↑ QR Center of Screen
In the image below, the lighting indicated by the arrow is known as: a fill light a back light a key light a side light an under light
The pupil of the eye increases in size under which condition? eye is focused on a distant object eye is focused on a nearby object O object viewed is dimly illuminated object viewed is well illuminated
What's optics
73 1.5 450 1.8 567 63 446 13 1200 12
What is the speed of light in air? m/s
its marking wrong the answer
The image produced by a concave mirror is located 27 cm in front of the mirror. The focal length of the mirror is 13 cm. How far in front of the mirror is the object located? Number i Units
Is it negative sign?