Iwu nke abụọ nke Newton gbasara ngagharị ntụgharị

Isiokwu gbasara iwu nke abụọ nke Newton gbasara mmegharị ntụgharị

4.1 Mmekọrịta dị n'etiti oge ike, oge inertia, na ọsọ ọsọ n'akụkụ

Ọ bụrụ na e nwere ike sitere na ya (ΣF) na-arụ ọrụ na ihe nwere oke (m) mgbe ahụ ihe ahụ na-aga n'ahịrị na osooso ụfọdụ (a). A na-egosipụta mmekọrịta dị n'etiti ike sitere na ya, oke, na osooso site na nha nhata:

Σ F = ma

Nke a bụ nha nhata nke iwu nke abụọ nke Newton .

Ọnụọgụ nke mmegharị ntụgharị nke yiri ike sitere na ya (ΣF) na mmegharị ahịrị bụ oge ike sitere na ya (Στ). Ọnụọgụ mmegharị ntụgharị nke yiri oke (m) na mmegharị ahịrị bụ oge nke inertia (I). Ọnụọgụ mmegharị ntụgharị nke yiri osooso (a) na mmegharị ahịrị bụ osooso angular (α).

Ọ bụrụ na e nwere oge ike sitere na ya (Στ) nke na-arụ ọrụ na ihe nwere oge inertia (I) ụfọdụ, mgbe ahụ ihe ahụ na-agbagharị na ụfọdụ osooso angular (α). A na-egosipụta mmekọrịta dị n'etiti ike oge sitere na ya, oge inertia, na osooso angular site na nha anya:

Στ = M α

Usoro a bụ ntụnyere ntụgharị nke iwu nke abụọ nke Newton.

4.2 Ihe atụ nke nsogbu nke iwu nke abụọ nke Newton gbasara mmegharị ntụgharị

Nsogbu ihe atụ nke 1.

Pulley siri ike nke nwere oke ibu nke 1 kg na radius nke 10 cm, n'akụkụ ya, eriri a kpara akpa, otu nsọtụ nke eriri ahụ kwụgidere na ibu nke 1 kg. Chee echiche na eriri ahụ enweghị oke. Chọpụta oke ọsọ nke ibu ahụ mgbe ị daa n'efu. (g = 10 m/s²)

ngwọta:

Mara:

F = w = mg = (1 kg)(10 m/s ² ) = 10 N

r = 0.1 m

Achọrọ: Ọsọ ọsọ nke ibu

ngwọta:

Mbụ, gbakọọ oge nke inertia na oge ike.

Oge nke inertia nke pulley siri ike:

I = 1⁄2 mr ² = 1⁄2 (1 kg)(0.1 m) ²

I = (0.5 kg)(0.01 m ² ) = 0.005 kg m ²

Oge ike:

τ = F l = (10 N)(0.1 m) = 1 N m

Osote akụkụ:

Ọsọ nke ibu:

a = r α = (0.1) (200) = 20 m/s ²

Nsogbu ihe atụ nke 2.

Pulley siri ike nke nwere oke 2M na radius nke R, n'akụkụ ya, kechiri eriri, otu nsọtụ nke eriri ahụ kwụgidere ibu ya na oke m. Mgbe ewepụrụ ibu ahụ, pulley ahụ na-agbagharị na osooso akụkụ. Ọ bụrụ na e jikọtara pulley ahụ na ihe nwere oke M, ka pulley ahụ wee na-agbagharị na otu osooso akụkụ ahụ, chọpụta oke ibu ahụ. (I pulley = 1⁄2 MR ² ).

ngwọta:

Mara:

Ibu nke pulley siri ike: 2M

Oke nke ihe siri ike: R

Ibu ibu: m

Achọtara: Ibu ibu

ngwọta:

Gbakọọ oge nke inertia nke pulley siri ike, tupu na mgbe ejikọtara ihe na oke M:

Oge nke inertia 1: I = 1⁄2 mr ² = 1⁄2

(2M)(R) ² = MR ²

Oge nke inertia 2: I = 1⁄2 mr ² = 1⁄2

(2M + M)(R) ² = 1⁄2 (3M)(R) ² = 1.5 MR ²

Oge ike nke ibu dị na pulley na-arụ:

τ = F l = (m)(g)(R)

Ọsọ ọsọ nke pulley ahụ bụ otu ihe ahụ, ma tupu ma mgbe ejikọtara ihe ndị ahụ na oke M.

Ibu ibu = okpukpu 1.5 nke ibu mbụ.