Oke nke net torque - nsogbu na ngwọta

1. A na-etinye ike P n'otu nsọtụ nke ogwe osisi nwere ogologo mita 2. Kedu ka ike torque si dị ? Axis nke ntụgharị na isi A.

A maara:

Ike (F) = 10 N

Ogologo AB (r _AB ) = 2 m

Ike F dị n'akụkụ osisi ahụ.

Ogwe aka (l ) = r _AB sin 90 ^o = (2 m)(1) = 2 m

Achọrọ: Ike gburugburu axis nke ntụgharị

Ngwọta:

Ike ike:

τ = F l = (10 N)(2 m) = 20 N m

Ihe ịrịba ama agbakwunyere n'ihi na ìhè ahụ na-agbagharị ntụgharị aka ekpe.

[irp]

2. Ogologo nke ogwe AB bụ mita 2, oke ike F bụkwa N10. Kedu ka oke ike ahụ si dị? Axis nke ntụgharị na isi A.

A maara:

Ike (F) = 10 N

Ogologo AB (r _AB ) = 2 m

Ogwe aka (l ) = r _AB sin 60 ^o = (2 m)(0.5 √3 ) = √3 m

Achọrọ: Ike gburugburu axis nke ntụgharị

Ngwọta:

Ike ike:

τ = F l = (10 N)( √3 m) = 10 √3 N m

Akara mgbakwunye ahụ bụ n'ihi na ike F na-eme ka ogwe ahụ tụgharịa ntụgharị aka ekpe.

[irp]

3. Ogologo osisi ahụ bụ mita 2. Oke F ₁ bụ 10 N, oke F ₂ bụkwa 15 N. Chọpụta ike ọkụ dị n'etiti osisi ahụ.

Axis nke ntụgharị dị n'etiti ogwe osisi ahụ.

A maara:

Ike 1 (F ₁ ) = 10 N

Anya dị n'etiti F ₁ na etiti nke osisi (r ₁ ) = 1 m

Ogwe aka 1 (l ₁ ) = r ₁ sin 90 ^o = (1 m)(1) = 1 m

Ike F ₁ dị n'akụkụ osisi ahụ.

Ike 2 (F ₂ ) = 15 N

Anya dị n'etiti F ₂ na etiti nke ogwe osisi ahụ (r ₂ ) = 1 m

Ike F ₂ dị n'akụkụ osisi ahụ.

Ogwe aka 2 (l ₂ ) = r ₁ sin 90 ^o = (1 m)(1) = 1 m

Achọrọ: Ọkụ ike dị n'akụkụ axis nke ntụgharị

Ngwọta:

Ike 1:

τ ₁ = F ₁ l ₁ = (10 N)( 1 m) = 10 N m

Akara mgbakwunye ahụ bụ n'ihi na ike nke F ₁ na-eme ka ogwe ahụ tụgharịa ntụgharị aka ekpe.

Ike 2:

τ ₂ = F ₂ l ₂ = (15 N) ( 1 m) = -15 N

Akara mwepu ahụ n'ihi na ike F ₂ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

Ike net:

Σ τ = τ ₁ – τ ₂ = 10 – 15 = – 5 N m

Ihe ịrịba ama nke mwepu bụ n'ihi na ìhè ahụ na-agbagharị n'akụkụ aka nri.

[irp]

4. Ogologo nke ogwe AB bụ 2 m, nha F ₁ bụ 10 N na nha F ₂ bụ 10 N. Chọpụta ike ụgbụ gburugburu etiti ogwe ahụ.

Axis nke ntụgharị dị n'etiti ogwe osisi ahụ.

A maara:

Ike 1 (F ₁ ) = 10 Nn

Anya dị n'etiti F ₁ na etiti nke ogwe osisi ahụ (r ₁ ) = 1 m

Ogwe aka 1 (l ₁ ) = r ₁ sin 60 ^o = (1 m)(0.5 √3 ) = 0.5 √3 m

Ike 2 (F ₂ ) = 10 N

Anya dị n'etiti F ₂ na etiti nke ogwe osisi ahụ (r ₂ ) = 1 m

Ike F ₂ dị n'akụkụ osisi ahụ.

Ogwe aka 2 (l ₂ ) = r ₂ sin 90 ^o = (1 m)(1) = 1 m

Achọrọ: Ọkụ net gbasara axis nke ntụgharị

Ngwọta:

Ike 1:

τ ₁ = F ₁ l ₁ = (10 N) ( 0.5 √3 m) = 5 √3 = 8.7 Nm

Ihe ịrịba ama gbakwunyere n'ihi na ike F ₁ na-eme ka ogwe ahụ na-atụgharị gaa n'aka nri.

Ike 2:

τ ₂ = F ₂ l ₂ = (10 N)( 1 m) = -10 N m

Akara mwepu ahụ n'ihi na ike F ₂ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

Ike net:

Σ τ = τ ₁ – τ ₂ = 8.7 – 10 = – 1.3 N m

Akara mwepu n'ihi na ike ụgbụ ahụ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

[irp]

5. Ogologo osisi bụ 10 m, oke F ₁ bụ 10 N, oke F ₂ bụ 10 N na oke F ₃ bụ 15 N. Anya dị n'etiti isi A na isi C bụ 7.5 m. Ike F ₂ dị n'etiti osisi ahụ. Chọpụta ike ụgbụ gburugburu isi C dị na 2.5 m site na isi B.

Axis nke ntụgharị dị na isi C

A maara:

Ike 1 (F ₁ ) = 10 N

Anya dị n'etiti F ₁ na isi C (r ₁ ) = 2.5 m

Ike F ₁ dị n'akụkụ osisi ahụ.

Ogwe aka 1 (l ₁ ) = r ₁ sin 90 ^o = ( 2.5 m)( 1 ) = 2.5 m

Ike 2 (F ₂ ) = 10 N

Anya dị n'etiti F ₂ na isi C (r ₂ ) = 2.5 m

Ike F ₂ dị n'akụkụ osisi ahụ.

Ogwe aka 2 (l ₂ ) = r ₂ sin 90 ^o = ( 2.5 m)(1) = 2.5 m

Ike 3 (F ₃ ) = 15 N

Anya dị n'etiti F ₃ na isi C (r ₃ ) = 7.5 m

Ike F ₃ dị n'akụkụ osisi ahụ.

Ogwe aka 3 (l ₃ ) = r ₃ sin 90 ^o = (7.5 m)(1) = 7.5 m

Achọrọ: Ọkụ net gbasara axis nke ntụgharị

Ngwọta:

Ike 1:

τ ₁ = F ₁ l ₁ = (10 N)( 2.5 m) = 25 N m

Ihe ịrịba ama gbakwunyere n'ihi na ike F ₁ na-eme ka ogwe ahụ na-atụgharị gaa n'aka nri.

Ike 2:

τ ₂ = F ₂ l ₂ = (10 N)( 2.5 m) = 25 N m

Ihe ịrịba ama T tinyere ya n'ihi na ike F ₂ na-eme ka ogwe ahụ na-atụgharị gaa n'aka nri.

Ike 3:

τ ₃ = F ₃ l ₃ = (15 N)( 7.5 m) = -112..5 N m

Akara mwepu ahụ n'ihi na ike F ₃ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

Ike net:

Σ τ = τ ₁ + τ ₂ – τ ₃ = 25 + 25 – 112.5 = – 62.5 N m

Akara mwepu n'ihi na ike ụgbụ ahụ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

[irp]

6. Ogologo osisi ahụ bụ mita iri, nha ya bụ F₁ bụ 10 N, nha F₂ bụ 10 N na oke F₃ bụ 10 N. Chọpụta ike net gbasara isi ihe A, nke dị mita 5 site na point nke itinye ike F₁.

Axis nke ntụgharị na isi A.

A maara:

Ike 1 (F ₁ ) = 10 N

Anya dị n'etiti F ₁ na isi A (r ₁ ) = 5 m

Ogwe aka 1 (l ₁ ) = r ₁ sin 60 ^o = (5 m)(0.5 √3 ) = 2.5 √3 m

Ike 2 (F ₂ ) = 10 N

Anya dị n'etiti F ₂ na isi A (r ₂ ) = 0

Ike F ₂ dị n'akụkụ osisi ahụ.

Ogwe aka 2 (l ₂ ) = r ₂ mmehie 90 ^o = (0)(1) = 0

Ike 3 (F3 ₎ = 10 N

Anya dị n'etiti F ₃ na isi A (r ₃ ) = 10 m

Ogwe aka 3 (l ₃ ) = r ₃ sin 30 ^o = (10 m)(0.5) = 5 m

Achọrọ: ike ọkụ dị n'akụkụ axis nke ntụgharị

Ngwọta:

Ike 1:

τ ₁ = F ₁ l ₁ = (10 N)( 2.5 √3 m ) = 25√3 = 43.3 N m

Ihe ịrịba ama gbakwunyere n'ihi na ike F ₁ na-eme ka ogwe ahụ na-atụgharị gaa n'aka nri.

Ike 2:

τ ₂ = F ₂ l ₂ = (10 N) (0) = 0

Ike 3:

τ ₃ = F ₃ l ₃ = (10 N)( 5 m) = -50 N m

Akara mwepu ahụ n'ihi na ike F ₃ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.

Ike net:

Σ τ = τ ₁ + τ ₂ – τ ₃ = 43.3 + 0 – 50 = – 6.7 N m

Akara mwepu n'ihi na ike ụgbụ ahụ na-eme ka ogwe ahụ na -atụgharị gaa n'aka nri.