The platform is rotating such that, at any instant, its angular position is 8 = (0.85t³ -0.87t2² +9) rad, where t is in seconds. A ball rolls outward so that its position is r = (0.42t3) m. Find the magnitude of the acceleration of the ball in m/s² when t = 0.85 seconds.

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Q: Set up the equilibrium equations required toanalyze the frame in Figure P10.32 by the slope…

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Q: Use Virtual Work Method to calculate the horizontal deflection at the 90 kN load for the frame shown…

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Q: A 1-lb collar is attached to a spring and slides without friction along a circular rod in a vertical…

A: mass of collar (m) = 1 lbSpring constant (K) = 12 Undeformed length of the spring

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A: Length of pendulum is 50 cm Mass of bob is 100 g Radius of circle is 30 cm

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Q: 3. The rod OB rotates counterclockwise about O at the constant angular speed of 30 rev/min while the…

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Q: The rotation of the 0.9-m arm OA about O is defined by the relation 0 = 0.15t2, where 0 is expressed…

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.