15.) In a control system, an accelerometer consists of a 4.65-g object sliding on a calibrated horizontal rail. A low-mass spring attaches the object to a flange at one end of the rail. Grease on the rail makes static friction negligible, but rapidly damps out vibrations of the sliding object. When subject to a steady acceleration of 0.850g, the object should be at a location 0.460 cm away from its equilibrium position. Find the force constant of the spring required for the calibration to be correct. N/m 16.) A carpet is to be installed in a room of length 8.66 m and width 6.2 m. Find the area of the room retaining the proper number of significant figures. m2
GIVEN
15.object mass m = 4.65 g sliding on a calibrated
horizontal rail
acceleration of the object a = 0.850g = 0.850*9.8 =
8.33 m/s2
because of force acting on the object displaces 0.460 cm frome equilibrium (x)
we know that
From Newton's second law F = ma and F = kx ==> k = F/x = ma/x = 4.65*10^-3*8.33/0.46*10^-2 = 8.420 N/m
16. length of the room L = 8.66 m, bredth B= 6.2
m
area of the triangle shaped room is A = L*b= 8.66*6.2= 53.692 m^2
15.) In a control system, an accelerometer consists of a 4.65-g object sliding on a calibrated...
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