A mover has to move a heavy sofa of mass 51 kg to the second floor of the house.

Question

A mover has to move a heavy sofa of mass 51 kg to the second floor of the house. As he pulls on the rope tied to the sofa he makes sure that the rope is parallel to the surface of the ramp, which is at 30.0° to the horizontal. If the coefficient of kinetic friction between the sofa and the ramp is 0.550, and the sofa has an acceleration of 0.700 m/s2, find the tension in the rope.

A mover has to move a heavy sofa of mass 51 kg to the second floor of the house. As he pulls on the rope tied to the sofa he makes sure that the rope is parallel to the surface of the ramp, which is at 30.0 to the horizontal. If the coefficient of kinetic friction between the sofa and the ramp is 0.550, and the sofa has an acceleration of 0.700 m/se, find the tension in the rope 605.98 Did you draw a free-body diagram and identify all the forces acting on the sofa? Take the x direction to be parallel to the ramp and the y direction to be perpendicular to the ramp. N

Explanation / Answer

let tension be T Newton

T - mgsin(theta) - mu*mgcos(theta) = m*a

T = mgsin(theta) + mu*mgcos(theta) + m*a

T = 51*9.81*sin(30) + 0.55*51*9.81*cos(30) + 51*0.7 = 524.159643372 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.