II. A spring hanging from the celling vibrates up and down. Its vertical position at time t is given by f (t) 5sin (3t). (a) Find the velocity of the spring at time t. (b) What is the spring's maximum speed? (c) What is its location when it reaches its maximum speed?
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- spring. on a spring when ortional to the um position. The he spring is neither a constant times es called the spring tant is a property of tally. The larger the opposite from its equilibrium its equilibrium by F-kr, at. In Haiti, public transportation is often by taptaps, small pickup trucks with seats along the sides of the pickup bed and railings to which passengers can hang on. Typically they carry two dozen or more passengers plus an assortment of chickens, goats, luggage, etc. Putting this much into the back of a pickup truck puts quite a large load on the truck springs. A truck has springs for each wheel, but for simplicity assume that the individual springs can be treated as one spring with a spring constant that includes the effect of all the springs. Also for simplicity, assume that all four springs compress equally when weight is added to the truck and that the equilibrium length of the springs is the length they have when they support the load of an empty truck. Part A A 62…L (meoo (2.0)x O M 17. A simple pendulum consists of a mass M attached to a vertical string L. The string is displaced to the right by an angle e. When the pendulum is released from rest what is the speed of the ball at the lowest point? B) ZgL C) /2gL cos 0 D) 29L(1- cos®) A) 2 gL(b) Neglecting all resistive forces, determine the spring constant. N/m (c) Neglecting all resistive forces, find the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in Figure (b). m/s
- A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 27.0 s. (a) How tall is the tower? m (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? sA man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 13.0 s. (a) How tall is the tower? m(b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there? sQ4:A smooth 5 kg collar shown in fig 1, fits loosely on the vertical shaft. if the spring is unstrched when the collar is in the position A, determine the speed at which the collar is moving when y=1m ,if (a) it is released from rest at A and (b)it is released at A with an upwared velocity Va=6m/s. 0.75 m www k-3N/m (a) Figure 1.