GATE XE (Engineering Sciences) 2012 - Question 56

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Section: Solid Mechanics | Marks: 2

A striker with mass m=20 kg is attached to the end of a mass-less rigid bar of length R=0.3m. The bar is hinged to support A, and swings down from an initial horizontal position such that the striker hits mass M= 5kg elastically. The mass M slides (in a straight line) along the table, from point B towards the spring located at point C, 0.2 m away from B. Assume that the coefficient of friction in the region BC is 0.4 d μ= ; the region CD frictionless. Let the spring constant of the spring be k = 4000 N/m. If the striker rises to a maximum height of 0.1m below its starting location, then the maximum compression of the spring is (let acceleration due to gravity g = 10 m/s2, the dimensions of the striker and mass are small)

Figure for question 56, GATE XE (Engineering Sciences) 2012

  • A. 0.000 m
  • B. 0.100 m
  • C. 0.089 m
  • D. 0.109 m

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