A sign hangs from two wires. The left-hand wire makes an angle of 60 degrees with the horizontal, and the magnitude of the tension in the wire is 362N. The right-hand wire makes an angle of 45 degrees with the horizontal. Calculate the mass of the sign, in kilograms, to two significant figures. (Take the magnitude of the acceleration due to gravity, g , to be 9.8 m s^-2)

A sign hangs from two wires. The left-hand wire makes an angle of 60 degrees with the horizontal, and the magnitude of the tension in the wire is 362N. The right-hand wire makes an angle of 45 degrees with the horizontal. Calculate the mass of the sign, in kilograms, to two significant figures. (Take the magnitude of the acceleration due to gravity, g , to be 9.8 m s^-2)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

See similar textbooks

Similar questions

Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76
A picture frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame?
A mountain climber practices his technique in a mountain climbing school by balancing while suspended by two ropes attached to the ceiling. As shown by the figure, the left rope makes an angle of 60 degrees with the horizontal ceiling and the right rope makes an angle of 30 degrees with the horizontal ceiling. If the right rope has tension T1=322 N, what is the weight of the mountain climber?
A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension of 80 N to the free end of a cable whose other end is attached to the crate. If the coefficient of static friction is 0.40, what is the acceleration of the crate?
A block of mass 2.63 kg is hung at the midpoint of a string that is attached to the top of a 2-m tall pole at one end and to the top of another 2-m tall pole that is 5 m away at its other end. If due to the weight of the block the string deviates by 6.5º from the horizontal on each side of the block, what is the tension in the string?
A mass of 62 kg is suspended from a ceiling by two lengths of rope that make angles of 52deg and 74deg with the ceiling. Determine the tension, correct to one decimal place, in each of the ropes.
If the coefficient of kinetic friction, , between the block and the surface is 0.30 and the magnitude of the frictional force is 80.0 N, what is the weight of the block? ( Assume the block is on a horizontal surface)
A painting with a mass of 20 kg is suspended by two wires from a ceiling. If the wires make angles of 300 and 450 with the ceiling, find the tension in each wire.
In the figures, the masses are hung from an elevator ceiling. Assume the velocity of the elevator is constant. Find the tensions in the ropes (in N) for each case. Note that θ1 = 35.0°, θ2 = 55.0°, θ3 = 59.0°, m1 = 6.00 kg, and m2 = 11.0 kg.
On Earth at sea level, a rope can sustain a maximum force of 80.7 N before breaking. What is the weight of the heaviest object it can lift vertically while accelerating with a magnitude of 3.07 m/s2 ?
Consider the three forces acting on the box. F1= 20.0N at an angle θ1= 45° measured from the horizontal F2= 5.00 N at an angle θ2= 60° and the weight W= 15.0 N, pulling directly down in the y- direction. What is the net force acting on a box?
Two blocks A and B are connected by a horizontal bar whose mass is negligible. The mass of block A is 100-kg and the mass of block B is 50-kg. What force P will just prevent the blocks from slipping down the plane?The coefficient of friction between block A and the inclined surface is o.20, while that of block B and the inclined surface is 0.30.