3. A block is held at rest by a spring attached to a ramp as shown below. The mass of the block is 10 kg, the coefficient of static friction between the block and the ramp is 0.2, the angle of the slope of the ramp is 30 degrees, and the spring is compressed by a length of 0.1 meters. Determine the stiffness constant, k of the spring. Hint: If the friction force were suddenly taken away, the block would be pushed up the ramp by the spring. This should tell you the direction that the friction force must be pointing in your FBD to prevent that from happening.

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3. A block is held at rest by a spring attached to a ramp as shown below. The mass of the block is
10 kg, the coefficient of static friction between the block and the ramp is 0.2, the angle of the
slope of the ramp is 30 degrees, and the spring is compressed by a length of 0.1 meters.
Determine the stiffness constant, k of the spring.
Hint: If the friction force were suddenly taken away, the block would be pushed up the ramp by
the spring. This should tell you the direction that the friction force must be pointing in your FBD
to prevent that from happening.
Transcribed Image Text:3. A block is held at rest by a spring attached to a ramp as shown below. The mass of the block is 10 kg, the coefficient of static friction between the block and the ramp is 0.2, the angle of the slope of the ramp is 30 degrees, and the spring is compressed by a length of 0.1 meters. Determine the stiffness constant, k of the spring. Hint: If the friction force were suddenly taken away, the block would be pushed up the ramp by the spring. This should tell you the direction that the friction force must be pointing in your FBD to prevent that from happening.
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