6. A box weighing 100N is at rest on a horizontal floor. The coefficient of static friction between the box and the floor is 0.4. What is the smallest force F exerted eastward and upward at an angle of 30° with the horizontal that can start the box in motion?
6. A box weighing 100N is at rest on a horizontal floor. The coefficient of static friction between the box and the floor is 0.4. What is the smallest force F exerted eastward and upward at an angle of 30° with the horizontal that can start the box in motion?
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Transcribed Image Text:6. A box weighing 100N is at rest on a horizontal floor. The coefficient of static friction between the box
and the floor is 0.4. What is the smallest force F exerted eastward and upward at an angle of 30° with
the horizontal that can start the box in motion?
7. A body weighing 500N is held by a rope that passes over a horizontal drum, the angle of contact being
150°. If the coefficient of friction between the rope and the drum is 0.3 find the least force that will hold
the body.
8. A 100-kg box is suspended from ropes, the left one makes an angle of 20° with the vertical and the
other makes an angle of 40°. What is the tension in each rope?
9. what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C= 15i -
10j
10.A runner goes north 500m, turns east for 1200m, and then goes south for 1000m. What is his
displacement relative to his starting point?
Transcribed Image Text:1. A boat is being towed through a canal by a horizontal cable which makes an angle of 10° with the
shore. If the force tending to move the boat along the canal is 197N, find the pull on the cable?
2. A block weighing 500N rest on a ramp inclined at 25° with the horizontal. Determine the force tending
to move the block down the ramp.
3. Two wires attached to a corner fence post with the wires making an angle of 90° with each other. If
each wire pulls on the post with a force of 50 pounds, what is the resultant force acting on the post?
4. A disable ship is pulled by means off two tugboats positioned 30° and 20° from the line parallel to the
axis of the ship. If the of the of the two forces exerted by the ropes from the tugboats is a 300N force
parallel to the axis of the ship, find the smaller of the two forces exerted by the tugboats.
5. The Resultant of the four forces is 100lbs in the direction 30° west of north. Three of the four forces
are 500lbs, 60°north of east 300 lbs south and 400lbs, 53° west of south. Find the horizontal force
components of the fourth force.
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