What is the normal force 𝑁1?

Directions:
There 20 multiple choice questions. Each question is 5 points, and the exam is 100 points. The
exam is open book, open notes. However, you may not discuss the exam with your classmates.
Submit your work for each question in Canvas.

𝜏 = π‘ŸπΉ sin πœƒ, 𝜏 = π‘ŸπΉβŠ₯, 𝜏 = π‘ŸβŠ₯𝐹, 𝑔 = 9.8 π‘š/𝑠𝑒𝑐2 ,

πœ” = πœ”π‘– + 𝛼𝑑, πœƒ = πœƒπ‘– + πœ”π‘– 𝑑 + 1
2 𝛼𝑑2, (πœ”)2 = (πœ”π‘– )2 + 2π›ΌΞ”πœƒ, 𝑣 = π‘Ÿπœ”,
π‘Žπ‘‘ = π‘Ÿπ›Ό, 𝜏 = π‘ŸπΉ, πœπ‘›π‘’π‘‘ = 𝐼𝛼, 𝐾𝐸 = 1
2 π‘šπ‘£2 + 1
2 πΌπœ”2, π‘ˆπ‘” = π‘šπ‘”β„Ž, 𝐿 = πΌπœ”

Problems 12 refer to the following situation. A beam, resting on two pivots, has a length of

𝐿 = 6.00 π‘š and mass 𝑀 = 90.0 π‘˜π‘”. The pivot under the left end exerts a normal force 𝑁1 on
the beam, and the second pivot placed a distance β„“ = 4.00 π‘š from the left end, exerts a
normal force 𝑁2. A woman of mass π‘š = 55.0 π‘˜π‘” is a distance π‘₯ = 2.00 π‘š from the left end.
The system is in equilibrium.

Problem 1:

What is the normal force 𝑁1?
a. 190 N
b. 290 N c. 390 N d. 490 N
Problem 2:

What is the normal force 𝑁2?

a. 831 N
b. 931 N c. 1031 N d. 1131 N