Vectors Resultant Forces and Tension Applications MCV4U

Vectors:
Q1. Two forces act on an object. The forces have magnitude of 3N and 4 N, and act at an angle of 35˚ to each other. What is the angle that the resultant makes with the 3 N force?
a. 20.08˚ b. 35.00˚
c. 14.19˚ d. 90˚

 
Q2. A 20N force acts on an object. The horizontal component of this force has a magnitude of 12N. What is the angle the force makes with the horizontal?
a. 53.13˚ b. 13.58˚
c. 36.87˚ d. 66.42˚


Q3. Which of the following system of forces cannot be in a state of equilibrium?
a. 12 N, 10 N and 6 N b. 1 N, 2 N and 3 N
c. 13 N, 15 N and 29 N d. 1 N, 1 N and 1 N


 
Q4. A 20 kg block lies on a smooth ramp that is inclined at 35˚. What is the force, parallel to the ramp, would prevent the block from moving?
a. 16.4 N b. 160.6 N
c. 11.5 N d. 112.4 N



Q5. 10 m long rope is attached to the sleigh. Anil pulls sleigh, holding the rope at an angle of 25˚ with a force of 300 N. Find the force that pulls the sleigh forward.
a. 127 N b. 272 N
c. 200 N d. 150 N


 
Q6. Two forces of 40 N and 20 N act at an angle of 30˚to each other. The magnitude of the resultant is
a. 58 N b. 25 N
c. 3386 N d. 626 N








Note: Also find the angle that the resultant makes with 40 N force.
 

Q7. A weight of 196 N is suspended from a ceiling by two ropes that make angles of 45˚ and 60˚ with the ceiling. Determine the tension in the shorter string.
a. 143 N b. 101 N
c. 98 N d. 112 N

 
Q8. An object with a weight of 60 N is suspended by two lengths of rope from a ceiling. The angles that both lengths make with the ceiling are the same. The tension in each length is 40 N. Determine the angle that the lengths of ropes make with the ceiling.
a. 45˚ b. 49˚
c. 41˚ d. 51˚


 
Q9. A 30 kg mobile is suspended from a ceiling by two hooks 50 cm apart. The mobile is attached to the hooks by two pieces of string on 40 cm and the other 30 cm in length. Find the tension in the 40 cm string.
a. 177 N b. 235 N
c. 294 N d. 194 N


 
Q10. The resultant of the two forces A and B is 8 N acting due North. A has a magnitude of 5 N acting due northeast. Determine the magnitude and direction of B.
a. 5.7 N, N 51.3˚ W b. 5.7 N, N 38.7˚ W
c. 6.2 N, N 51.3˚ W d. 6.2 N, N 38.7˚ W

Anil kumar,globalmathinstitute,global math institute,mathematics,gcse,igcse advance mathematics,cbse 12,sat,mcat,vectors,free vectors,mcv4u,ap mathematics,advance mathematics cbse 12 mathematics,introduction to vectors,vector geometry,operations with vectors,equivalent vectors,vector equation,algebra 2,advance mathematics,iit JEE,Forces and Tension Applications,Resultant Forces,foorces,equivalkent forces,tension in string,vector diagran,position diagram,