Question

In: Physics

The particle shown below is at rest, where F = 35.0 N, and θ = 36.3°....

The particle shown below is at rest, where F = 35.0 N, and θ = 36.3°. Find the magnitudes of F1 and F2.

F1 =
F2 =

Solutions

Expert Solution

Given data:

F = 35 N

θ = 36.3°

F1 = Fx = F cosθ

F2 = Fy = F sinθ ,

F1 = Fx = F cosθ

= 35 x cos 36.3°

= 35 x 0.8059

F1= 28.2065 N

F2 = Fy = F sinθ ,

= 35 x sin 36.3

F2 = 20.72 N


Related Solutions

A point particle slides frictionlessly down a sphere, starting from rest a the top(θ=0). Show that...
A point particle slides frictionlessly down a sphere, starting from rest a the top(θ=0). Show that the particle leaves the sphere when cos θ= 2/3. Use lagrange multiplier instead of newtonian mechanics
Let X1,...,Xn be i.i.d. N(θ,1), where θ ∈ R is the unknown parameter. (a) Find an...
Let X1,...,Xn be i.i.d. N(θ,1), where θ ∈ R is the unknown parameter. (a) Find an unbiased estimator of θ^2 based on (Xn)^2. (b) Calculate it’s variance and compare it with the Cram ́er-Rao lower bound.
The intensity pattern formed by a diffraction grating of N slits is where θ is the...
The intensity pattern formed by a diffraction grating of N slits is where θ is the angle of diffraction. The radiation reaches the grating at normal incidence. Using the formula above and m = 0, ±1, ±2 ... and p = an integer ≠ mN show that the interference maxima occur for β = mπ and minima occur for  β = pπ/N . show that the orders m=pd/a (of interference) are missing if d/a is an integer .
The force acts on a particle F = 2xy ^ 2i + 2x ^ 2yj N...
The force acts on a particle F = 2xy ^ 2i + 2x ^ 2yj N Find the work done by force by moving the body from the point (0,0) to the point (2,4) following the following paths 1) (0,0) -----> (2,0) -----> (2,4) 2) (0,0) ----> (0,4) ----> (2,4) 3) Along the line that joins both points 4) Along the parabola y = x ^ 2 5) Is a conservative force? Please make the graphs and justify all your...
Prove or disprove each of the followings. If f(n) = ω(g(n)), then log2(f(n)) = ω(log2g(n)), where...
Prove or disprove each of the followings. If f(n) = ω(g(n)), then log2(f(n)) = ω(log2g(n)), where f(n) and g(n) are positive functions. ω(n) + ω(n2) = theta(n). f(n)g(n) = ω(f(n)), where f(n) and g(n) are positive functions. If f(n) = theta(g(n)), then f(n) = theta(20 g(n)), where f(n) and g(n) are positive functions. If there are only finite number of points for which f(n) > g(n), then f(n) = O(g(n)), where f(n) and g(n) are positive functions.
The production function is f(K,N) = N/2 + √ K, where N is the amount of...
The production function is f(K,N) = N/2 + √ K, where N is the amount of labor used and K the amount of capital used. (a) What is returns to scale of this production function? What is the marginal product of labor? (b) In the short run, K¯ = 4. Labor is variable. On the graph, draw output as a function of labor input in the short run in blue. Draw the marginal product of labor as a function of...
For countable set G, H = {f : N → G : f is injective} where...
For countable set G, H = {f : N → G : f is injective} where N is the natural numbers. What is the cardinality of H. Prove it.
Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2, · ·...
Suppose f is a degree n polynomial where f(a1) = b1, f(a2) = b2, · · · f(an+1) = bn+1 where a1, a2, · · · an+1 are n + 1 distinct values. We will define a new polynomial g(x) = b1(x − a2)(x − a3)· · ·(x − an+1) / (a1 − a2)(a1 − a3)· · ·(a1 − an+1) + b2(x − a1)(x − a3)(x − a4)· · ·(x − an+1) / (a2 − a1)(a2 − a3)(a2 − a4)·...
Transactions between the US and the rest of the world are shown below. Use the following...
Transactions between the US and the rest of the world are shown below. Use the following information to answer the next four questions. US citizens spend 50 million dollars visiting China. American companies sell 30 million dollars worth of stock to foreign investors. US citizens receive 10 million dollars worth of dividend payments from foreign corporations. US government buys 5 million dollars worth of bonds. American citizens purchase 35 million dollars worth of Japanese produced vehicles. US government buys 18...
Consider a system of N classical free particles, where the motion of each particle is described...
Consider a system of N classical free particles, where the motion of each particle is described by Hamiltonian H = p2/2m, where m is the mass of the particle and p is the momentum. (All particles are assumed to be identical.) (1) Calculate the canonical partition function, internal energy and specific heat of the given system. (2) Derive the gas state equation.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT