Fnet = ma, Ffric, k = 1 N ₁ x = xo+v₁₂² +₂₂t², v₂ = voz + a₂t, (v₂)² = (voz)² + 2a, Ar Problem 1: The three ropes in Figure the are tied to a small, very light ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown. (a) What is T₁, the tension from Rope 1 for the Figure on the left? Answer: 86.6 N. (b) What is T2, the tension from Rope 2 for the Figure on the left? Answer: 50.0 N. (c) What is T3r, the x-component of the tension from Rope 3 for the Figure on the right? Answer: 50 N. (d) What is T3y, the y-component of the tension from Rope 3 for the Figure on the right? Answer: 80 N. (e) What is T3, the tension from Rope 3 for the Figure on the right? Answer: T3 = √(T3x)² +T3y)² = 94.3 N. Rope 2 Q 130 Rope 1 100 N M₂ 0.60 m 0.80 m T₁ - 50 N Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65 N. If m₁ = 12 kg, m₂ = 24 kg, and m3 = 31 kg, calculate: (a) The magnitude of the system's acceleration. Answer: 0.97 m/sec². (b) The tension T₁. Answer: 11.64 N. (e) The tension T₂. Answer: 34.92 N. T₁-80 N m₂ Problem 3: In the Figure below, a force of magnitude F = 12 N is applied to a FedEx box of mass m₂ = 1 kg. The force is directed up a plane tilted by = 37°. The box is connected by a cord to a UPS box of mass m₁ = 3 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. (a) The magnitude of the system's acceleration. Answer: 1.5 m/sec². (b) What is the tension in the cord? Answer: 4.5 N.
Fnet = ma, Ffric, k = 1 N ₁ x = xo+v₁₂² +₂₂t², v₂ = voz + a₂t, (v₂)² = (voz)² + 2a, Ar Problem 1: The three ropes in Figure the are tied to a small, very light ring. Two of the ropes are anchored to walls at right angles, and the third rope pulls as shown. (a) What is T₁, the tension from Rope 1 for the Figure on the left? Answer: 86.6 N. (b) What is T2, the tension from Rope 2 for the Figure on the left? Answer: 50.0 N. (c) What is T3r, the x-component of the tension from Rope 3 for the Figure on the right? Answer: 50 N. (d) What is T3y, the y-component of the tension from Rope 3 for the Figure on the right? Answer: 80 N. (e) What is T3, the tension from Rope 3 for the Figure on the right? Answer: T3 = √(T3x)² +T3y)² = 94.3 N. Rope 2 Q 130 Rope 1 100 N M₂ 0.60 m 0.80 m T₁ - 50 N Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65 N. If m₁ = 12 kg, m₂ = 24 kg, and m3 = 31 kg, calculate: (a) The magnitude of the system's acceleration. Answer: 0.97 m/sec². (b) The tension T₁. Answer: 11.64 N. (e) The tension T₂. Answer: 34.92 N. T₁-80 N m₂ Problem 3: In the Figure below, a force of magnitude F = 12 N is applied to a FedEx box of mass m₂ = 1 kg. The force is directed up a plane tilted by = 37°. The box is connected by a cord to a UPS box of mass m₁ = 3 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. (a) The magnitude of the system's acceleration. Answer: 1.5 m/sec². (b) What is the tension in the cord? Answer: 4.5 N.
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Transcribed Image Text:Fnet = ma , Frie, k = HkN , x = 1o + vozt + ;a̟ť² , vz = voz + a„t , (vz)² = (voz)² + 2a,A¤
Problem 1: The three ropes in Figure the are tied to a small, very light ring. Two of the ropes are
anchored to walls at right angles, and the third rope pulls as shown.
(a) What is T1, the tension from Rope 1 for the Figure on the left? Answer: 86.6 N.
(b) What is T2, the tension from Rope 2 for the Figure on the left? Answer: 50.0 N.
(c) What is T3r, the r-component of the tension from Rope 3 for the Figure on the right? Answer: 50 N.
(d) What is T3y, the y-component of the tension from Rope 3 for the Figure on the right? Answer: 80 N.
(e) What is T3, the tension from Rope 3 for the Figure on the right?
Answer: T3 = V(T3-)² + T3,)² = 94.3 N.
0.60 m
Rope 2
T,= 80 N
0.80 m
Rope I
T, = 50 N
100 N
Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table
by a force of magnitude T3 = 65 N. If mị = 12 kg, m2 = 24 kg, and m3 = 31 kg, calculate:
(a) The magnitude of the system's acceleration. Answer: 0.97 m/sec?.
(b) The tension T. Answer: 11.64 N.
(c) The tension T2. Answer: 34.92 N.
Problem 3: In the Figure below, a force of magnitude F = 12 N is applied to a FedEx box of mass m2 =
1 kg. The force is directed up a plane tilted by 0 = 37°. The box is connected by a cord to a UPS box of
mass m, = 3 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley
and cord are negligible. (a) The magnitude of the system's acceleration. Answer: 1.5 m/sec?.
(b) What is the tension in the cord? Answer: 4.5 N.
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