9. A setup similar to the one shown in Figure below is often used in hospitals t
ID: 1395218 • Letter: 9
Question
9. A setup similar to the one shown in Figure below is often used in hospitals to support and apply a horizontal traction force to an injured leg. (a) Determine the force of tension in the rope supporting the leg. (b) What is the traction force exerted to the right on the leg? 10. An object of mass M is held in place by an applied force F and a pulley system as shown in Figure to the right. The pulleys are massless and frictionless. (a) Draw diagrams showing the forces on each pulley. Find (b) the tension in each section of rope, T1, T2, T3, T4, and T5, and (c) the magnitude of F. 11. Review. A rifle bullet with a mass of 12.0 g traveling toward the right at 260 m/s strikes a large bag of sand and penetrates it to a depth of 23.0 cm. Determine the magnitude and direction of the friction force (assumed constant) that acts on the bullet. 12. A 3.00-kg object undergoes an acceleration given by a=( 2.00 i+ 5.00 j ) m/s^2. Find (a) the resultant force acting on the object and (b) the magnitude of the resultant force.Explanation / Answer
9)
here , for ideal rope and pulley
the tension is same through out the rope ,
let the tension in the rope is T
Now, for the equilibrium of 8 kg mass
T - 8 * 9.8 = 0
T = 78.4 N
the force of tension in the leg is 78.4 N
b)
Now, traction force to the right is
Fr = T * cos(70) + T
Fr = 78.4 + 78.4 * cos(70)
Fr = 105.2 N
the traction force to the right is 105.2 N
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