An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.50×104 NN. Our hero’s mass is 90.0 kg. What is the smallest value the angle θ can have if the rope is not to break? Express your answer in degrees

Q: 2. The resultant of the four forces shown is 10KN along positive x-axis. Determine the magnitude of…

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Q: 53 In Fig. 5-48, three connected blocks are pulled to the right on a horizontal frictionless table…

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Q: A block is resting on an incline of slope 5:12. It is subjected to a force F =1 KN on a slope of…

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Q: 59. Go A 1.40-kg bottle of vintage wine is lying horizontallly in a rack, as shown in the drawing.…

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Q: 3. A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She…

A: Along the horizontal direction,

Q: Q.3 - Consider a block of mass m = 2 kg on an inclined surface as shown in the figure below. The x-…

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Q: A lamp hangs from two wires that meet at the top of the lamp. One, with tension T1, is up and to the…

A: Given data:  θ1 = 60.0°      θ2 = 30.0° T1 = 86.6 N T2 = 50.0 N Required: Weight of the lamp

Q: 73. ssm Only two forces act on an object (mass = 4.00 kg), as in the drawing. Find the magnitude and…

A: Given, Two forces act on an object (mass = 4.00 kg)

Q: 100-kg box is suspended from two ropes; the left one makes an angle of 20 0 with vertical, and the…

A: Given: The mass of the object is 100 kg. The angle made by the first rope is 20o with vertical. The…

Q: During a concert, international pop sensation Taylor Swift holds a 1.5m long microphone stand 0.5…

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Q: A block of mass m is kept on rough inclined plane of inclination 0. The angle of inclination varies…

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Q: The resultant of the 50-N and 30-N forces is R. If R = 65 N, determine the angle ß. D 85° D 106° D…

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Q: Determine the inclination angle O, at which body A (60 kg) may slip upward the inclined surface,…

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Q: 2) A 65 kg woman is horizontal in a push-up position. What are the vertical forces acting on her…

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Q: Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.30 kg are connected by a light string that…

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Q: F4-27. Replace the loading system by an cquivalent resultant force and couple moment acting at point…

A: moments due to couple can be added together using the same rules as adding any vectors

Q: A crate remains stationary after it has been placed on aramp inclined at an angle with the…

A: When an object is at rest on a inclined ramp then the frictional force acting on the body is equal…

Q: Problems 51 •53 In Fig. 5-48, three connected blocks are pulled to the right on a horizontal…

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Q: A 400. N crate is suspended from two ropes that each makes an angle 8 of 38° with the horizontal.…

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Q: 2) A 65 kg woman is horizontal in a push-up position. What are the vertical forces acting on her…

A: Mass,  Acceleration due to gravity,  Distance of the hands from the center of mass, Distance of the…

Q: Two packing crates of masses m_{1} = 5.00 kg and m_{2} = 13.0 kg are connected by a light string…

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Q: *120. Go A flatbed truck is carrying a crate up a hill of angle of inclination 0 = 10.0°, as the…

A: Apply Newton’s second law along the incline

Q: se (3) remain the same 118. As an object initially at rest on a horizontal surface is set in motion,…

A: When an object is at rest frictional force is called static friction When an object is in motion…

Q: 59. Go A 1.40-kg bottle of vintage wine is lying horizontally in a rack, as shown in the drawing.…

A: 59. The force required to support the bottle is the force due to gravity. Because of the symmetry of…

Q: The coefficient of static friction between m2 and m3 is 0.55 and m3 is on a frictionless table. (m2…

A: Given the masses are m 2= 10 kg  m3 = 30 kg The coefficient of static friction between m2 and m3 μs=…

Q: A 50 N box has an applied force on it of 40 N that makes an angle of 30 with the horizontal. The box…

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Q: Two packing crates of masses m, = 10.0 kg and m, = 4.00 kg are connected by a light string that…

A: Given- Create of masses m1=10 Kg and m2=4 KgIncline of angle θ=440

Q: Determine the magnitude of the resultant R of the two forces and the angle E which are makes with…

A: Given Data: Two forces acting at a point O, F1=4 kN and F2=6 kN   The figure below represents the…

Q: 1, The great swing at a country fair consists of a vertical central shaft with a number of…

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Q: A homogeneous cylinder of weight W rests in a straight corner without friction. Determine the…

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Q: Two packing crates of masses m1 = 10.0 kg and m2 = 3.70 kg are connected by a light string that…

A: Consider the below free-body-diagram for both the blocks.

Q: 4.4 • A man is dragging a trunk up the loading ramp of a mover's truck. The 75.0° - ramp has a slope…

A: Solution: As given in the problem, we can see the angles; Lets draw the Freebody diagram a) lets…

Q: SITUATION. A uniform ladder 3 m long weighs 200 N. It is placed against a wall making an angle of 60…

A: The horizontal force P to be applied to the ladder at the ground level to prevent slipping:

Q: 8. Consider a 50-N weight suspended by two wires as shown. If the magnitude of vector F, is 35 N,…

A: The net force along horizontal direction,

Q: Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that…

A: The net force exerted on the block m2 along x axis is, ∑Fx=maxT-m2gsinθ=m2a…

Q: Problem 04: The body on the 30° incline is acted upon by a force P inclined at 20° with the…

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Q: The horizontal rod OA rotates about a vertical shaft according to the relation d0/dt = 0' = 10t…

A: Given: The distance OB is 0.65 m. The mass of the collar is 300 g. The breaking strength is 18 N.

Q: (a) speed v of the masses m/s (b) magnitude of the tension Tin the cord N

A: (a) Net work done is equal to change in kinetic energy Wnet=∆EkW1+W2=∆Ekm1gh+m2g-h=12m1v2+12m2v2…

Q: 5. The resultant of three parallel loads (one is missing in Fig. P-243) is 13.6 kg acting up at 3 m…

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Q: The position of a mass m = 20.0 kg is given in by x(t) = 9.0sin ((25.0)t). Calculate the magnitude…

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Q: Two packing crates of masses m1 = 10.0 kg and m2 = 5.60 kg are connected by a light string that…

A: Let T and a are the tension and the acceleration of both mass.Consider the FBD of both mass below.

Q: A mass m2 m, = 1.5 kg rests on a m3 TTTI horizontal table. The coefficient of friction between m,…

A: Answer:Option a)

Q: A mountain climber, in the process of crossing between two cliffs by the rope, pauses to rest. She…

A: The force equation along the horizontal direction is given by, Tleftsin60°=Trightsin80° Here, Tleft…

Q: Two packing crates of masses m, = 10.0 kg and m, = 4.90 kg are connected by a light string that…

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”