Force and Constant Velocity
Force vector. Equilibrium. Moments.
1. Determine the resultant force and state whether the object is at equilibrium. sin52=0.788; cos52=0.616; sin25=0.423; cos25=0.906; sin27=0.454; cos27=0.891; sin26=0.438; cos26=0.899;
2.
If the mass of the plane is 1700kg, and drag force is 50kN, determine what should be the aerodynamic lift force and engine’s thrust so that the plane flew with constant velocity.
3. The spring was extended to 3cm under mass of 500g. Determine the spring constant.
4. The distance between two planets of masses 25x1025kg and 30x1025kg is 1012km. Calculate the attractive force between them.
5. The load with mass m=1.5kg is attached to the string of length l=1.5m and moves along a vertical circle with constant velocity v=1.5m/s. What are the maximum and minimum tensions in the string and in what positions? Determine the angular speed, period and frequency. 6. The object of mass m=100kg is pulled by force F=12kN. If it moves with constant velocity, determine the coefficient of friction between object and surface.
7. The length of the rod is 50m. If the force applied perpendicularly to one end is 5N, calculate the moment around the second end and around the midpoint of the rod.
8. If F1=5N, x1=2m, x2=3m, determine F2 and reaction at R. 9. A framed picture of weight 15 N is to be hung on a wall, using a piece of string. The ends of the string are tied to two points, 0.60 m apart on the same horizontal level, on the back of the picture. Find the tension in the string if: a) the string is 1.0 m long. b) the string is 0.66 m long.
10. The rectangular objects, A, B, C, and D are each 2 cm long and 1 cm high. Which one(s) of the bodies is/are in equilibrium? Show this mathematically.
1. Determine the resultant force and state whether the object is at equilibrium. sin52=0.788; cos52=0.616; sin25=0.423; cos25=0.906; sin27=0.454; cos27=0.891; sin26=0.438; cos26=0.899;
2.
If the mass of the plane is 1700kg, and drag force is 50kN, determine what should be the aerodynamic lift force and engine’s thrust so that the plane flew with constant velocity.
3. The spring was extended to 3cm under mass of 500g. Determine the spring constant.
4. The distance between two planets of masses 25x1025kg and 30x1025kg is 1012km. Calculate the attractive force between them.
5. The load with mass m=1.5kg is attached to the string of length l=1.5m and moves along a vertical circle with constant velocity v=1.5m/s. What are the maximum and minimum tensions in the string and in what positions? Determine the angular speed, period and frequency. 6. The object of mass m=100kg is pulled by force F=12kN. If it moves with constant velocity, determine the coefficient of friction between object and surface.
7. The length of the rod is 50m. If the force applied perpendicularly to one end is 5N, calculate the moment around the second end and around the midpoint of the rod.
8. If F1=5N, x1=2m, x2=3m, determine F2 and reaction at R. 9. A framed picture of weight 15 N is to be hung on a wall, using a piece of string. The ends of the string are tied to two points, 0.60 m apart on the same horizontal level, on the back of the picture. Find the tension in the string if: a) the string is 1.0 m long. b) the string is 0.66 m long.
10. The rectangular objects, A, B, C, and D are each 2 cm long and 1 cm high. Which one(s) of the bodies is/are in equilibrium? Show this mathematically.