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A farmer's tractor, travelling at 3 m/s, pulls a rope of fixed length attached to a bale of hay through a pulley. Using the dimensions indicated in the picture below how fast is the bale rising when x = 5 m ?

A farmer's tractor, travelling at 3 m/s, pulls a rope of fixed length attached to a bale of hay through a pulley. Using the dimensions indicated in the picture below how fast is the bale rising when x = 5 m ?

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(10) (5 marks) A farmer's tractor, travelling at 3 m / s , pulls a rope of fixed length attached to a bale of hay through a pulley. Using the dimensions indicated in the picture below how fast is the bale rising when x = 5 m ?

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10a) (15 Points) In the following circuit, an NMOS transistor is used to switch the current to the LED. Assume the following parameters: Microcontroller: vO = 4.6 V iOH < −5 mA and vOL = 0.4 V, iOL < 8 mA LED: vf = 2.0 V, PLED−max = 200 mW Desired LED current 100 mA Transistor: vT = 1.0 V, RDS(ON) = 0.5 Ω, iD−max = 500 mA a. When the output of the microcontroller is low, what is the operating region of the transistor? b. When the output of the microcontroller is high, what is the operating region of the transistor? c. With the microcontroller output high, and the transistor in the ohmic region, what value of R results in an on-state LED current of 100 mA? d. What standard value of resistor (Table is on page 33 of the text) comes closest to the desired LED current? 10b) Suppose we rearrange the NMOS circuit in problem 10 as shown. Using the same parameters as in the previous problem, answer the following: a. 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A ball is attached to a cord of length L, which is tied to a frame attached to a truck bed as shown in figure (a), below. The ball-truck system is initially traveling to the right at constant speed vi, with the cord vertical. The truck suddenly stops when it undergoes an inelastic collision with a low wall as shown in figure (b), below. The suspended ball swings through an angle θ. a a (i) b (i) (a) Show that the original speed of the truck can be computed from vi = 2 gL(1−cos⁡(θ)). When the truck stops, the ball begins moving like a -- Select--- ∇. The truck's initial velocity can be derived using ---Select-- . Implementing this derivation method results in which following equation? 12−mvi2+mgL = 0+mgLcos⁡(θ)12−Lvi2+0 = 0+mgL(1−cos⁡(θ))12−mvi2+mg(−L) = 0+mg(−Lcos⁡(θ))12−Lvi2+mgLcos⁡(θ) = 0+mgL Solving this equation for vi gives vi = 2 gL(1−cos⁡(θ)). (b) If the wall is still exerting a horizontal force on the truck when the hanging ball is at its maximum angle forward from the vertical, at what moment does the wall stop exerting a horizontal force? somewhere between the maximum angle forward and the lowest point of the ball the lowest point of the ball somewhere between the lowest point of the ball and the maximum angle backward the maximum angle backward never A ball is attached to a cord of length L, which is tied to a frame attached to a truck bed as shown in figure (a), below. The ball-truck system is initially traveling to the right at constant speed vi, with the cord vertical. The truck suddenly stops when it undergoes an inelastic collision with a low wall as shown in figure (b), below. The suspended ball swings through an angle θ. a a (i) b (i) (a) Show that the original speed of the truck can be computed from vi = 2 gL(1−cos⁡(θ)). When the truck stops, the ball begins moving like a -- Select--- ∇. The truck's initial velocity can be derived using ---Select-- . Implementing this derivation method results in which following equation? 12−mvi2+mgL = 0+mgLcos⁡(θ)12−Lvi2+0 = 0+mgL(1−cos⁡(θ))12−mvi2+mg(−L) = 0+mg(−Lcos⁡(θ))12−Lvi2+mgLcos⁡(θ) = 0+mgL Solving this equation for vi gives vi = 2 gL(1−cos⁡(θ)). (b) If the wall is still exerting a horizontal force on the truck when the hanging ball is at its maximum angle forward from the vertical, at what moment does the wall stop exerting a horizontal force? somewhere between the maximum angle forward and the lowest point of the ball the lowest point of the ball somewhere between the lowest point of the ball and the maximum angle backward the maximum angle backward never

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