A helium-filled balloon, whose envelope has a mass of 0.25 kg, is tied to a 2.0-m-long, 0.050-kg string. The balloon is spherical with a radius of 0.40 m. When released, it lifts a length h of the string and then remains in equilibrium, as in Figure P9.86. Determine the value of h. Hint: Only that part of the string above the floor contributes to the load being supported by the balloon.

Q: A 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

A:

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A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

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A: Step 1:Mass is 80kgDiameter is 20cm is 0.20mYoung modulus is 1×1010m2N​Step 2:The formula for the…

Q: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: A host pours the remnants of several bottles of wine into a jug after a party. He then inserts a…

A: Write the formula for the pressure in terms of force.

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Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is…

A: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given that,The length of the steel cable : L = 9.2 (m)The radius of the steel cable : r = 0.50…

Q: A light spring of constant k = 170 N/m rests vertically on the bottom of a large beaker of water…

A: Draw the free-body diagram of the block.

Q: (LO2-4) If b = 1 (i.e. the anchor side of the cable is at a 45° angle), what should be the slope a…

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Q: I need only last question question number 20 .

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Q. A rod having a diameter of 4 cm and length of 1 m is suspended from a rigid suppor as shown in…

A: Youngs modulus of elasticity     Y = stress /strain

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A:

Q: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data:  Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. If the…

A: To find minimum diameter for each rod use the formula of normal stress and put the values to solve .…

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 × 1011 N/m²) that is…

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Q: Two cylinders of cross-scctional area A = 10 m are fitted smoothly together as shown in the Figure,…

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Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

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Q: out from the edge. The spool has an inner diameter of 3.00 cm and an outer diameter of 18.0 cm, and…

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Q: 5. The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given Maximum Pressure Pmax = 2.0 x 108 Pa Mass m = 200 kg Diameter D = 0.50 cm = 0.50 x 10-2 m

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A: Write the expression for young’s modulus of the material.

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

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Q: Determine the value of h

A: Given  The mass of the envelope (m)=0.26kg length of the string (L)= 3.9m mass of the string (ms)=…

Q: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given data: The length of the steel cable is L=9.2 m. The radius of the steel cable is R=0.50 cm.…

Q: You have been warned to  set up a ladder with its base about 1/4 of its length from the wall.…

A: Let us draw an an illustration of the given scenario:

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Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: An aluminium (p = 2.7g/cm³) wire is suspended from the ceiling and hangs vertically. How long must…

A: Given that-Density of aluminium wire, ρ=2.7g/cm3Stress at upper end, σt= 8×107 N/m2We know…

Q: A cube of unknown material is 0.200 m on each side and has a mass of 17.6 kg. It is suspended in a…

A:

Q: A helium-filled balloon, whose envelope has a mass of 0.25 kg, is tied to a 2.0-m-long, 0.050-kg…

A: The density of the air,

Q: A Plastic spherical balloon is held below the surface of a swimming pool by a cable tied to the…

A: Volume of sphere V=1.5×10-2m3 tension in cable T=90N F.B.D of Balloon T+mg=Fbuoyant 90+mg=ρVg…

Q: Problem 6: The assembly shown below consists of 30 mm diameter aluminum bar ABC with fixed collar at…

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Q: 2. For safety in climbing, a mountaineer uses a nylon rope that is 58 m long and 1.2 cm in diameter.…

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Q: A man with a mass of 72.1 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: A) Using the formula for Young's modulus, Y=FLA∆L∆L=FLAY=mgLAY=72.1 kg9.8 m/s20.496 m8.00×10-4…

Q: A weed trimmer for yard work has a rotating head which consists of a spool of monofilament line,…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).