6 m! 1.0 m T3 2 m T2 3 m 2 m 2 m Figure P2.8, P2.9
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The magnitudes of the three forces acting on the plate are T1 = 90 kN, T2 = 60 kN, and T3 = 40 kN. Replace these forces with a single equivalent force R.


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- In the figure shown, the mass of the crate is 89 kg, θ1 = 38°, and θ2 = 27° (a) What is the tension of the left cable in N? T1 = N (b) What is the tension in the right cable in N? T2 = NThree cables are used to tie the balloon shown in Figure. Determine the magnitude of the vertical force (P) exerted by the balloon at A, knowing that the tension in cable AD is 1.041 N y1 = 4.3 m y2 = 2 m x1 = 4.3 m x2 = 3.3 m z = 5.6 m .Write the solution on a paper and round to 4 decimal places
- A mass M1 = 4.1 kg mass is suspended from the ceiling and a mass M2 = 4.3 kg is suspended under it, as shown. The tensions in the strings are labeled and . A hand exerts an upward force of 22 N on the lower mass mass. Calculate the magnitude of the tension T1Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F equal to 200 N at an angle 0, equal to –60.0° with respect to the +x-direction, as shown in the figure. Player 2 exerts a force F2 equal to 300 N at an angle 02 equal to 37.0° with respect to the +x-direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. Determine the force F3 exerted by player 3. State your answer by giving the x- and y-components, F3, and Fay, respectively. F, F3x -339.59 N F3y N Player 3's rope breaks, and player 2 adjusts by pulling with a force of magnitude F; equal to 250 N at the same angle as before. Defining angles above the x-axis as positive and those below as negative, at what angle 0 is the acceleration of the box relative to the +x-direction? The magnitude of the acceleration is measured to be 10.0 m/s?. What is the mass m of the box? kg m = F TOOLS x10A horizontal force of 430 N is applied to a stationary wooden box in one direction, and a 700 N horizontal force is applied in the opposite direction. What additional force is needed for the box to remain stationary?
- The lateral head and the medial head of the gastrocnemius muscle pull on the Achilles tendon, as shown. The medial head T₁ and lateral head T₂ apply a force of 250 N and 150 N, respectively. y T₁ Gastrocnemius 20% X N 30° (a) Calculate the net force experienced by the Achilles tendon. Enter to 3 significant figures Magnitude of net force = 291.55 T₂ X Achilles Tendon b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y- axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150.A horizontal force F pushes against a block of mass m. The mass m in turn pushes against a bigger block of mass M. There isn't friction any between the larger block and the table, but there is friction in between the blocks (coef. of static friction is μs). What's the smallest force F that will hold the smaller mass m m against the larger mass M without letting the smaller mass m fall down?