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PH111 Midterm Exam 2: Mechanics Problems - Prof. Massimiliano Bonamente, Exams of Physics

University of Alabama - HuntsvillePhysics
Prof. Massimiliano Bonamente

The midterm exam for physics 111, focusing on mechanics problems. Students are required to solve any 4 out of 5 problems, each worth 25 points. Problems include finding tension in ropes, acceleration of boxes, maximum compression of springs, and velocity of objects up inclines. Some problems involve friction and elastic forces.

Typology: Exams

Pre 2010

Uploaded on 07/23/2009

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PH111 – MIDTERM EXAM 2
July 18, 2007
Name (print legibly):
Solve any 4 of the following 5 problem. Each problem is worth 25 points.
1. Consider a small ball of mass m=1 [kg] attached to a massless rope, and rotating on a
vertical plane with angular speed ω=10 [rad/s] as in Figure. The radius of the orbit is r=0.1 [m].
Find the tension in the rope:
(a) when the ball is at location A;
(b) when the ball is at location B.
You may approximate g=10 [m/s2].
C
A
B
pf3
pf4
pf5

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PH111 – MIDTERM EXAM 2

July 18, 2007

Name (print legibly):

Solve any 4 of the following 5 problem. Each problem is worth 25 points.

  1. Consider a small ball of mass m=1 [kg] attached to a massless rope, and rotating on a vertical plane with angular speed ω=10 [rad/s] as in Figure. The radius of the orbit is r=0.1 [m]. Find the tension in the rope:

(a) when the ball is at location A; (b) when the ball is at location B. You may approximate g=10 [m/s^2 ].

C

A

B

  1. Consider a force F pulling the rope as in Figure. The rope is massless and the pulley is frictionless. The coefficient of friction between each box and the surface is μK =0.05, mA=2 [kg] and mB =2[kg]. Given that the two boxes move with an acceleration of magnitude a=1 [m/s^2 ], find the tensions T 1 and T 2 in the two ropes.

F

A B

rope 1 rope 2

a

  1. A box of mass m=1 kg is pushed up an incline of angle α=30 degrees that has a coefficient of kinetic friction μK =0.5. Find the velocity of the object after it is pushed for d=2[m] by a force of magnitude F=11 [N] directed upward along the incline.

F α

d

  1. A uniform rod of length l=1[m] is pivoted at one extremity. At the other end there is attached a small ball of mass m=1[kg], and a force of magnitude F=1.0 [N] is exerted on the ball perpendicular to the rod, as in Figure. The rod has mass mrod=2[kg], it is uniform in density and the moment of inertia of the rod around its center of mass is ICOM =1[kg m^2 ]. The motion takes place on a frictionless horizontal plane.

P (pivot point)

ω θ F

(a) Find the moment of inertia of the rod/mass system with respect to the axis of rotation; (b) Find what the angular velocity ω at a time t = 2 seconds after the force F is applied.