Consider two inclined forces on the link. 100N at 60 ̊ counter clockwise direction and 450N...

Consider two inclined forces on the link. 100N at 60 ̊ counter clockwise direction and 450N at 30 ̊ clockwise direction. Determine the resultant force and its direction on the link using components method.

Solutions

Expert Solution

100N can be resolved into 2 components. 100cos60 (along positive X axis) and 100sin60(along positive Y axis). 450N can be resolved into 450cos30 along positive X axis and 450sin30 along negative Y axis.

Resultant force in X direction Fx=100cos60+450cos30=50+389.711=439.711N (because these two x components are in same direction )

Resultant force in y direction

Fy=100sin60-450sin60=-303.109N (because 100sin60 is along positive y axis and 450sin60 is along negative y axis. Hence net force of these two is in negative y direction )

Resultant of Fx and Fy, F===534.06N (square of negative term is positive )

Let be the angle between F and Fx

Hence tan=Fy/Fx=-303.109/439.711=-0.6893

=- (That is F is at 34.58 degee below with x axis

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

What is the importance of measuring current in the clockwise direction?

A horizontal searchlight located at (0,5) is revolving counter clockwise at a constant angular velocity of...

A horizontal searchlight located at (0,5) is revolving counter clockwise at a constant angular velocity of 20 rpm. How fast is the light beam moving along the x-axis when the search lighy is pointsd toward (5,0)? Please include a diagram.

If two ends of a rope are pulled with forces of equal magnitude and opposite direction,...

If two ends of a rope are pulled with forces of equal magnitude and opposite direction, the tension at the center of the rope must be zero. True or false? The answer is false. I chose true though and I'm not understanding why. Forces act at the center of mass of the object, so if there are two forces of equal and opposite magnitude, then they should cancel out resulting in zero tension, no?

A simply supported beam of length 7m has a concentrated couple Mo (counter clockwise) of 10kNm...

A simply supported beam of length 7m has a concentrated couple Mo (counter clockwise) of 10kNm applied at one end. Using DIM(Double Integration Method): The maximum deflection is located at what distance from the applied load? Calculate the maximum deflection assuming E = 200 GPa and I = 60x10^6 mm4

Two cars are moving at 60 mph in the same direction and in the same lane....

Two cars are moving at 60 mph in the same direction and in the same lane. The cars are separated by one car length (20 ft) for each 10 mph. The coefficient of friction (skidding) between the tires and the roadway is 0.6. The reaction time is assumed to be 0.5 sec. a) If the lead car hits a parked truck, what is the speed of the second car when it hits the first (stationary) car? b) If the lead...

Explain the concept of net filtration pressure. Describe the two main forces that drive the direction...

Explain the concept of net filtration pressure. Describe the two main forces that drive the direction of fluid flow as you move across a given capillary. How do these forces change from the arterial end to the venous end of the capillary?

Stresses at a point are: 60 MPa in the x-direction, 80 MPa in the y-direction and...

Stresses at a point are: 60 MPa in the x-direction, 80 MPa in the y-direction and no shear stress in this reference x-y plane. Note that these are already the principal stresses and the reference plane x-y is the principal plane. What are the stresses at 45o clockwise from the principal planes? Show them on a properly-oriented element. Mohr’c cirle is to be used and no equations will be accepted.

Two forces, 80 N and 100 N acting at an angle of 60° with each other,...

Two forces, 80 N and 100 N acting at an angle of 60° with each other, pull on an object. a) What single force would replace the two forces? b) What single force (called the equilibrant) would balance the two forces? Solve graphically (using protractor and ruler) and algebraically (components method). please anserw in a way i can understand and please do the graph.

A hoop of mass M=400.g and radius R=20.0 cm is rolling without slipping in clockwise direction...

A hoop of mass M=400.g and radius R=20.0 cm is rolling without slipping in clockwise direction down an incline plane with the incline angle ? = 20? . 1. How much work is done by frictional force acting on the hoop on (1) translation, (2) rotation of the hoop? Show all work so that your final answer is justified. 2. How much is ???ℎ?? on the hoop? Explain by using your answer from part 1, and whatever other argument you...

Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude...

Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude 98 N inclined at 139 o , measured from the positive x axis with counterclockwise positive. Find the direction of this resultant vector (between the limits of 0 and −180◦ from the positive x-axis). Answer in units of o . Your answer must be within ± 5.0%

Subjects