Question

In: Physics

A force of 60 lbs make an angle of 45° with the horizontal. Find its vertical...

A force of 60 lbs make an angle of 45° with the horizontal. Find its vertical and horizontal components. Draw the figure.

Solutions

Expert Solution

In a two dimensional coordinate system, any vector can be broken into x-component and y-component.

For example, a vector   can broken into two components and . Let the angle between the vector and the x-component be .

The trigonometric ratios give the relation between the magnitude of the vector and the components of the vector.

Here and

The vertical component,

  

  =42.43 N

The horizontal component,

  

= 42.43 N


Related Solutions

For each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal...
For each function, find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal asymptote. 19. p(x)= 2x-3/x+4 21. s(x)=4/(x-2)^2 24. g(x)= 2x^2 +7x - 15/ 3x^2- 14+ 15 26. k(x)= 2x^2- 3x- 20/x-5
A ball is thrown at an angle of θ0 = 60° above the horizontal with an...
A ball is thrown at an angle of θ0 = 60° above the horizontal with an initial speed of v0 = 11.5 m/s. What will be the direction of the ball's velocity after 0.62 sec? Submit the angle between the velocity and the horizontal (in degrees). The angle, θ = _____ deg. At what time will the velocity of the ball make an angle 12° relative to the horizontal? The time, t = _____  
a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height...
a projectile is launched in the horizontal direction at an angle of 0 degrees. vertical height of 0.992meters and a horizontal displacement of 3.1311+-0.051205m what is the time of the fall? do not forget u certainties
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above...
A projectile is launched at an angle of 60 degrees to the horizontal from 6.5ft above the ground at an initial speed of 100 ft/sec. Assume the x-axis is horizontal, the positive y axis is vertical (opposite g), the ground is horizontal, and the only gravitational force acta on the object. Answer parts A through D. A) Find the velocity - v(t) and position - r(t) vectors for t greater than or equal to 0. B) Graph the trajectory C)...
Find the horizontal and vertical tangents to the graph of the cardioid ? = 1 −...
Find the horizontal and vertical tangents to the graph of the cardioid ? = 1 − cos?, 0 ≤ ? ≤ 2?
A 1.00 kg , horizontal, uniform tray is attached to a vertical ideal spring of force...
A 1.00 kg , horizontal, uniform tray is attached to a vertical ideal spring of force constant 195 N/m and a 285 g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 12.1 cm below its equilibrium point (call this point A) and released from rest. a) How high above point A will the tray be when the metal ball leaves the tray? b) How much...
A 1.30 kg , horizontal, uniform tray is attached to a vertical ideal spring of force...
A 1.30 kg , horizontal, uniform tray is attached to a vertical ideal spring of force constant 200 N/mand a 275 g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 13.3 cm below its equilibrium point (call this point A) and released from rest. A) How high above point A will the tray be when the metal ball leaves the tray? (Hint: This does not...
A catapult launches a rock at a 31° angle with respect to the horizontal. Find the...
A catapult launches a rock at a 31° angle with respect to the horizontal. Find the maximum height attained if the speed of the rock at its highest point is 26.5 m/s.   m
Find some companies with the following strategies: Backward vertical integration, Forward vertical integration, Horizontal integration, Conglomerate...
Find some companies with the following strategies: Backward vertical integration, Forward vertical integration, Horizontal integration, Conglomerate merger
Solve the problem 43) Find equations for the horizontal and vertical tangent lines to the curve...
Solve the problem 43) Find equations for the horizontal and vertical tangent lines to the curve r = 1 - sinθ, 0 ≤ θ < 2π. Please check if your answer is correct with the following: Horizontal: y = 1/4 at (1/2, π/6), y = 1/4 at (1/2, 5π/6), y = -2 at (2, 3π/2) Vertical: x = 0 at (0, π/2), x = -3sqrt(3)/4 at (3/2, 7π/6), x = 3sqrt(3)/4 at (3/2, 11π/6)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT