2. (6 pts) A hiker ties his 22.0 kg food pack between two trees using two (massless, inextensible) ropes. The rope on the left makes an angle of 50° with the horizontal, and the rope on the right makes a 30° angle with the horizontal. Calculate the tensions in the two ropes. 50° 30° 22 kg T2 Fg

/--/ A mass is suspended as shown in the diagram, with M = 18 kg and 0₂ = 28. Find the three tensions. 0₂ T₁ 15. T₁ A. 331.8 N 337.1 N ن کو ہے B. C. 293_N 1-1 16. T₂ A. B. C. /--/ 469.9 N 375.7 N 276.9 N T₂ T₁ M D. 73.3 N E. 504.1 N F. 515.3 N D. 346.4 N E. 297.5 N F. 304.8 N

2. The block of mass m, in the figure has been adjusted so that the block of mass m, is on the verge of sliding. (a) If m1 = 7 kg and m2 = 5 kg , what is the coefficient of static friction between the table and the block? (b) With a slight nudge, the blocks move with acceleration of magnitude a. Find a if the coefficient of kinetic friction between the table and the block is µ = 0.54 m2

1. A ping-pong ball has a weight of 0.50 N. While in contact with a paddle the paddle exerts a force of 7.8 N at 29° above the horizontal. Determine the net force acting on the ball at this instant.

1. Three blocks, with masses m₁: 5.60 kg, m2 = 5.10 kg, and m3 7.80 kg, are pulled on a horizontal frictionless surface by a 19.0 N force that makes a 28.0° angle (0) with the horizontal (see figure). What is the magnitude of the tension between the m₁ and m2 blocks? N m3 = m₂ m₁ F

4. Two blocks are connected by a string, as shown in the figure. The smooth inclined surface makes an angle of 0 = 42° with the horizontal, and the block on the incline has a mass m₁ = 7.1 kg. Find the mass m₂ of the hanging block that will cause the system to be in Eurom. ssf60 ssf60 ssf60 ssf60 5 09588 Oriss (9188 09178 09588 ssf60osf60 ss 50 ssf60 ssf60 ssfor 10m₂ 09588 09188 09 ssf60 ssf6 ss0 ssf60 sf60 ssf60 ssf60 ssfo” ƒ60 ssf60 ssf60 ssf60 ss

2. Mass 1 = 3.5 kg brick is placed on an inclined plane which forms an angle of 25° with the horizontal. There is a string attached to the brick that passes over a pulley and connects to a Mass 2 = 1.15 kg. The coefficient of static friction between the brick and the plane is 0.25. a. What is the acceleration of the brick? b. What is the tension in the string? [33

37. A suitcase with mass 18 kg is pulled at a constant speed by a handle that makes an angle θ with the horizontal. The frictional force on the suitcase is 27 N and the force applied on the handle is 43 N. (a) Determine the value of the angle, θ. (b) Determine the normal force exerted on the suitcase.

5. The system below includes 3 blocks of masses m₁ = 1 Kg, m2 = 2 Kg and m3 = 5 Kg linked by massless and frictionless strings and pulleys. m Share Dinit Pulley m₂ m; Pulley a) Find the magnitude of the tension of the string between m₁ and m2. b) Find the magnitude of the tension of the string between m2 and m3.

Newtons Third Law: In the figure provided, a 220. kg crate, to the right of the pulley, is released from rest and begins to fall to the ground. If the mass on the left is m = 55.0 kg, what is the magnitude of the tension of the rope attached to the 220. kg crate? Assume the rope and pulley are massless. 862 N 2.16×103 N 431 N 539 N