A large cubical block of ice of mass M = 29.8 kg and sides of length L 31.9 cm is held stationary on a frictionless ramp. The ramp is at an angle of \theta = 34.3\deg above the horizontal. The ice cube is held in place by a rope of negligible mass and length 1.81 m. The rope is attached to the surface of the ramp and to the upper edge of the ice cube, a distance L above the surface of the ramp. Find the tension in the rope.

A large cubical block of ice of mass M = 29.8 kg and sides of length L 31.9 cm is held stationary on a frictionless ramp. The ramp is at an angle of \theta = 34.3\deg above the horizontal. The ice cube is held in place by a rope of negligible mass and length 1.81 m. The rope is attached to the surface of the ramp and to the upper edge of the ice cube, a distance L above the surface of the ramp. Find the tension in the rope.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig. suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).
Two homogeneous spheres of mass M radius R joined by a bar of length L = 2R, negligible mass, and suspended from its geometric center by a rope such that when rotated ϕ exerts torque −kϕ with k torsion coefficient of the wire. The air exerts dissipative effect F = −6πηv on each sphere, where η is the viscosity of the air and v is the linear velocity of each sphere. If I0 = 25MR2 is the moment of inertia of a sphere with respect to its center of mass (image 1)determine the equation of motion of the pendulum. (image 2)
You open a restaurantand hope to entice customers byhanging out a sign (Fig. ).The uniform horizontal beam supportingthe sign is 1.50 m long, hasa mass of 16.0 kg, and is hingedto the wall. The sign itself is uniformwith a mass of 28.0 kg andoverall length of 1.20 m. The twowires supporting the sign are each32.0 cm long, are 90.0 cm apart,and are equally spaced from themiddle of the sign. The cable supportingthe beam is 2.00 m long.(a) What minimum tension mustyour cable be able to support without having your sign come crashingdown? (b) What minimum vertical force must the hinge be able to supportwithout pulling out of the wall?
To get up on the roof, a person (mass 72.0 kg) places a 6.80 m aluminum ladder (mass 13.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)
The diameter of ball which is suspended by a rope in atmosphere is 10cm , what is the tension in the rope if the density of ball is 2000kg/m3 10.2 N 13.6 kN 56.4 N 40.5 kN
A 16,000-ft³ hydrogen balloon’s cargo and structure have a mass of 650 lbm. What must be the initial sand mass to prevent lift-off? Assume 14.7 psia and 55°F. A. 478.13 lbm C. 498.13 lbm B. 488.13 lbm D. 508.13 lbm
You bet your friend that he cannot completely submerge your beach ball, which has a diameter of 60 cm and negligible mass. He must balance on the beach ball, not jump on it. What is the smallest mass that your friend can have and be successful? Assume that the sea water density is 1024kg/m^3.
Consider a homogeneous right circular cylinder of lengthL , radius R , and specifi c gravity SG =0.5, fl oating in water(SG = 1). Show that the body will be stable with its axishorizontal if L / R > 2.0.
A 150 mm diameter open circular cylinder is 1 m long and contains water up to a height of 0.7 m. Estimate the speed at which the cylinder may be rotated about its vertical axis so that the axial depth becomes zero. a. 249. b. 163.93 c. 564 d. 296
A square wooden (SG = 0.6) rod, 5 cm by 5 cm by 10 mlong, fl oats vertically in water at 20 ° C when 6 kg ofsteel (SG = 7.84) are attached to one end. How highabove the water surface does the wooden end of the rodprotrude?( a ) 0.6 m, ( b ) 1.6 m, ( c ) 1.9 m, ( d ) 2.4 m, ( e ) 4.0 m
A rectangular parallelepiped with a square base d = 0.260 m on a side and a height h = 0.120 m has a mass m = 6.60 kg. While this object is floating in water, oil with a mass density ?o = 710 kg/m3 is carefully poured on top of the water until the situation looks like that shown in the figure. Determine the height of the parallelepiped in the water.
A solid cone with a diameter of 24 cm and a height of 20 cm floats on water with its vertex facing downward, as illustrated in the image. Is this cone stable in its equilibrium state? 早 Suggestion: S = 0. For the cone H, D equals 24 cm, H equals 20 cm, and S equals 0.8. Assume that e equals the semi-vertex angle 12 tane = = 0.6 20 0 = 30.96°.