Concept explainers
The acceleration of the masses and tension in the strings.
Answer to Problem 101QAP
Tension in String
Tension in String
acceleration of the masses
Explanation of Solution
Givendata:
Mass of block A,
Mass of block B,
Mass of block B,
Formula Used:
Newton's second law:
Calculation:
For theblocks on the ramp, we can use a coordinate system wherethe axes are parallel and perpendicular to the face of theramp and up the ramp is considered positive.
For the
All three blocks have the sameacceleration because they are joined together.
Using Newton's second law for each of theblocks, we can solve for the acceleration in terms of the known masses.
Once we calculate theacceleration, we can calculate the magnitudes of the tensions.
Free-body diagram of
Free-body diagram of
Free-body diagram of
Newton's second law:
Solving for the acceleration:
Solving for the tensions:
Conclusion:
Thus, we havethe acceleration of the masses and tension in the strings as below: -
Tension in String
Tension in String
acceleration of the masses
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