A block of 3-kg mass slides down a loop of 3-m radius with the
coefficient of friction between
the block and loop being 0.25 at initial velocity (v) and enters a
smooth horizontal plane, and
then compresses a spring of stiffness 0.25 kN/m as shown below. The
spring is originally
unstretched. The normal acceleration is ignored when the block
slides down the loop.
(a) Determine the minimum initial velocity of the block to ensure
that the block can return
to its initial position (10 marks).
A Block Of 3 Kg Mass Slides Down A Loop Of 3 M Radius With The Coefficient Of Friction Between The Block And Loop Being 1 (81.02 KiB) Viewed 85 times
QUESTION 4 (20 marks) A block of 3-kg mass slides down a loop of 3-m radius with the coefficient of friction between the block and loop being 0.25 at initial velocity (v) and enters a smooth horizontal plane, and then compresses a spring of stiffness 0.25 kN/m as shown below. The spring is originally unstretched. The normal acceleration is ignored when the block slides down the loop. (a) Determine the minimum initial velocity of the block to ensure that the block can return to its initial position (10 marks). (b) Based on the above condition determine the compression of the spring when the block touches the spring for the first time (10 marks) 3 m [-I- 8 m
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