A block of mass m rests on a plane inclined at θ with the horizontal. The block is attached to a spring of constant k as shown in Figure-2. The coefficients of static and kinetic friction between the block and plane are and respectively. Very slowly, the spring is pulled upward along the plane until the block starts to move.   (a) Obtain an expression for the extension d of the spring the instant the block moves. (b) Determine the value of such that the block comes to rest just as the spring is in its unstressed condition, that is, neither extended nor compressed.

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A block of mass m rests on a plane inclined at θ with the horizontal. The block is
attached to a spring of constant k as shown in Figure-2. The coefficients of static and
kinetic friction between the block and plane are and respectively. Very slowly, the
spring is pulled upward along the plane until the block starts to move.

 

(a) Obtain an expression for the extension d of the spring the instant the block moves.


(b) Determine the value of such that the block comes to rest just as the spring is in its
unstressed condition, that is, neither extended nor compressed.

wwiw
θ
Transcribed Image Text:wwiw θ
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