The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = ax b . For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = ax b . For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
Solution Summary: The author explains the constants a and b in the empirical equation for F.
The spring constant of an automotive suspension spring increases with increasing load due to a spring coil that is widest at the bottom, smoothly tapering to a smaller diameter near the top. The result is a softer ride on normal road surfaces from the wider coils, but the car does not bottom out on bumps because when the lower coils collapse, the stiffer coils near the top absorb the load. For such springs, the force exerted by the spring can be empirically found to be given by F = axb. For a tapered spiral spring that compresses 12.9 cm with a 1 000-N load and 31.5 cm with a 5 000-N load, (a) evaluate the constants a and b in the empirical equation for F and (b) find the work needed to compress the spring 25.0 cm.
19:39 ·
C
Chegg
1 69%
✓
The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take
F=1700 lb. (Figure 1)
Figure
800 lb
||-5-
F
600 lb
بتا
D
E
C
BO
10 ft 5 ft 4 ft-—— 6 ft — 5 ft-
Solved Part A The compound
beam is fixed at E and...
Hình ảnh có thể có bản quyền. Tìm hiểu thêm
Problem
A-12
% Chia sẻ
kip
800 lb
Truy cập )
D Lưu
of
C
600 lb
|-sa+ 10ft 5ft 4ft6ft
D
E
5 ft-
Trying
Cheaa
Những kết quả này có
hữu ích không?
There are pins at C and D To F-1200 Egue!)
Chegg
Solved The compound b...
Có Không ☑
|||
Chegg
10
וח
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