Question

4. Give the model (differential equation) that describes a spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 3 × 10³ N/m and c = 2 × 10³ N s/m. The car hits an unexpected hump in the road and experiences a constant force of F = 10 × 10³ N from t = 0 till t = 2. (Do not solve the differential equation) 

          4. Give the model (differential equation) that describes a spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 3 × 10³ N/m and c = 2 × 10³ N s/m. The car hits an unexpected hump in the road and experiences a constant force of F = 10 × 10³ N from t = 0 till t = 2. (Do not solve the differential equation)
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4. Give the model (differential equation) that describes a spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 3 × 10³ N/m and c = 2 × 10³ N s/m. The car hits an unexpected hump in the road and experiences a constant force of F = 10 × 10³ N from t = 0 till t = 2. (Do not solve the differential equation)

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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4. Give the model (differential equation) that describes a spring mass system serving as a shock absorber under a car's suspension, supports the M = 1000 kg mass of the car. For this shock absorber, k = 3 × 10^3 N/m and c = 2 × 10^3 N s/m. The car hits an unexpected hump in the road and experiences a constant force of F = 10 × 10^3 N from t = 0 till t = 2. (Do not solve the differential equation)
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Transcript

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00:01 Hi, from the question given that, suppose a spring mass system serving as a shock absorber under a car suspension.
00:16 Suppose here m is equal to 1 ,000 kilogram, that is the mass of the car.
00:24 And the k is equal to 3 times of 10 to the power of 3 newton per meter.
00:32 And c is equal to 2 times of 10 to the power of 3 newton second per meter.
00:40 The car eats an unexpected hump in the road and experience a constant force...
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