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Polytechnic University of The Philippines: ENSC 20043 Statics of Rigid Bodies Quiz 2

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POLYTECHNIC UNIVERSITY OF THE PHILIPPINES

LOPEZ, QUEZON BRANCH

ENSC 20043 Statics of Rigid Bodies June 9, 2021


QUIZ 2

Name: __________________________________________

I. Solve the following problems

1. The 500 KN block as shown, is in contact with a 46° incline. The coefficient of static 0.25.
Compute the value of the horizontal force P necessary to:
a. Just start the block up the incline
b. Just prevent motion down the incline
c. If P = 400, what is the amount and direction of the friction force.

2. In figure shown, the homogenous block weighs 300 KN and the coefficient of friction is 0.40. If
h = 5 m. Determine the force P to cause motion to impend.

3. A uniform ladder 10 m long and weighing W lb is placed with one end on the ground and the
other against a vertical wall. The angle of friction at all contact surfaces is 20°. Find the
minimum value of the angle Ø at which the ladder can be inclined with the horizontal before
slipping occurs.
POLYTECHNIC UNIVERSITY OF THE PHILIPPINES
LOPEZ, QUEZON BRANCH

4. As shown in figure, two blocks each weighing 200 KN, and resting on a
horizontal surface, are to be pushed apart by a 30° wedge. The angle of friction is 15° for all
contact surfaces. What value of P is required to start movement of the blocks?

5. A 40 mm diameter screw has a double square thread with a pitch of 12 mm and a lead of 24
mm. The screw and its mating threads in the fixed block are graphite lubricated and have a
friction coefficient of 0.15. If a torque of M = 60 N.m. is applied to the right hand portion of
the shaft.
a. Determine the force P required to advance the shaft to the right.
b. Determine the force P which would allow the shaft to move to the left at a constant
speed.

6. A flexible belt runs from A over the compound pulley P, around the floating pulley P and back
over P to a 200 KN weight. The coefficient of friction is 1/∏ between the belt and the
compound pulley P. Find the maximum weight W that can be supported without rotating the
pulley P or slipping the belt on the pulley P.
POLYTECHNIC UNIVERSITY OF THE PHILIPPINES
LOPEZ, QUEZON BRANCH

7. A force of 1.225 KN parallel to the rails keeps a 100 ton railway car rolling on a straight level
track. If the coefficient of rolling friction is 0.6 mm, what is the diameter of the cars wheels in
mm?

8. Determine the magnitude of the resultant, its pointing and its direction cosines for the
following systems of non-coplanar, concurrent forces. 100 N (+2, +3, 4), 300 N (-3, -4, +5) and
200 N (0,0, +4).

9. A force of 400 N is directed from C towards E in the cube.


a. Determine the moment about the X-Axis
b. Determine the moment about the Y-Axis
c. Determine the moment about the Z-Axis

10. The points B, C and D of the cantilever framework shown are attached to a vertical wall. The
400 N load is parallel to the Z-axis and the 1200 N load is vertical.
a. Compute the force in member AB
b. Compute the force in member AC
c. Compute the force in member AD

Prepared By:

Engr. Antonio P. Curva


Part- Instructor 1

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