1. Matla P a sebediswa pheletsong e nngwe ya lehlasedi le bolelele ba 2 m. Boholo ba lehlasedi ke bofe? torqueMothapo oa potoloho ntlheng ea A.
Tse tsejoang:
Matla (F) = 10 N
Bolelele ba AB (r)AB) = 2 m
Matla a F a otlolohile ho lehlaseli.
Letsoho la lever (l)) =rAB sebe 90o = (2 m)(1) = 2 m
Oa Batla: Torque e potolohileng axis ea potoloho
Tharollo:
Torque:
τ = F l = (10 N)(2 m) = 20 N m
Letšoao la ho eketsa ka lebaka la lehlaseli e potoloha ho potoloha ho ya ka lehlakoreng le leng.
2. Bolelele ba lehlaseli AB ke 2 m mme boholo ba matla F ke 10 N. Boholo ba torque ke bofe? Mothapo wa potoloho ntlheng ya A.
Tse tsejoang:
Matla (F) = 10 N
Bolelele ba AB (r)AB) = 2 m
Letsoho la lever (l)) =rAB sebe 60o = (2 m)(0.53) = 3 m
Oa Batla: Torque e potolohileng axis ea potoloho
Tharollo:
Torque:
τ = F l = (10 N)(3 m) = 103 N m
Letšoao la ho eketsa hobane matla F a baka mahlaseli e potoloha ho potoloha ho ya ka lehlakoreng le leng.
3. Bolelele ba lehlaseli ke 2 m. Boholo ba F1 ke 10 N le boholo ba F2 ke 15 N. Fumana torque ea letlooa bohareng ba lehlaseli.
Mothapo oa potoloho bohareng ba lehlaseli.
Tse tsejoang:
Matla a 1 (F)1) = 10 N
The distanta pakeng tsa F1 le bohareng ba lehlaseli (r1) = 1 m
Letsoho la lever 1 (l)1) =r1 sebe 90o = (1 m)(1) = 1 m
Matla F1 e otlolohile ho lehlaseli.
Matla a 2 (F)2) = 15 N
Sebaka se pakeng tsa F2 le bohareng ba lehlaseli (r2) = 1 m
Matla F2 e otlolohile ho lehlaseli.
Letsoho la lever 2 (l)2) =r1 sebe 90o = (1 m)(1) = 1 m
Ho batloa: Ttorque ea letlooa e potolohang mothapo oa potoloho
Tharollo:
Torque 1:
τ1 =F1 l1 = (10 N)(1 m) = 10 N m
Letšoao la ho eketsa ka lebaka la matla a F1 e baka lehlaseli e potoloha ho potoloha ho ya ka lehlakoreng le leng.
Torque 2:
τ2 =F2 l2 = (15 N)(1 m) = -15 N
Letšoao la ho tlosa hobane matla a F2 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque ea letlooa:
Στ = τ1 – τ2 = 10 – 15 = – 5 N m
Letšoao la ho tlosa hobane lehlaseli ho e potoloha ka ho ya ka oache.
4. Bolelele ba lehlaseli AB ke 2 m, Boholo ba F1 ke 10 N le boholo ba F2 is 10 N. Fumana torque ea letlooa bohareng ba lehlaseli.
Mothapo oa potoloho bohareng ba lehlaseli.
Tse tsejoang:
Matla a 1 (F)1) = 10 Nn
Sebaka se pakeng tsa F1 le bohareng ba lehlaseli (r1) = 1 m
Letsoho la lever 1 (l)1) =r1 sebe 60o = (1 m)(0.53= 0.53 m
Matla a 2 (F)2) = 10 N
Sebaka se pakeng tsa F2 le bohareng ba lehlaseli (r2) = 1 m
Matla F2 e otlolohile ho lehlaseli.
Letsoho la lever 2 (l)2) = r2 sebe 90o = (1 m)(1) = 1 m
Ho batloa: Torque ea letlooa e mabapi le axis ea potoloho
Tharollo:
Torque 1:
τ1 =F1 l1 = (10 N)(0.53 m) = 5√3 = 8.7 Nm
Letšoao la ho eketsa hobane matla a F1 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque 2:
τ2 =F2 l2 = (10 N)(1 m) = -10 N m
Letšoao la ho tlosa hobane matla a F2 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque ea letlooa:
Στ = τ1 – τ2 = 8.7 – 10 = – 1.3 N m
Letšoao la ho tlosa hobane matla a letlooa a etsa hore lehlaseli le e potoloha ka ho ya ka oache.
5. Bolelele ba lehlaseli ke 10 m, boholo ba F1 ke 10 N, boholo ba F2 ke 10 N le boholo ba F3 ke 15 N. Sebaka se pakeng tsa ntlha A le ntlha C ke 7.5 m. Matla F2 e fumanehang bohareng ba lehlaseli. Fumana torque ea letlooa mabapi le ntlha ea C e fumanehang ho 2.5 m ho tloha ntlheng ea B.
Mokhahlelo oa potoloho o sebakeng sa C
Tse tsejoang:
Matla a 1 (F)1) = 10 N
Sebaka se pakeng tsa F1 le ntlha C (r1) = 2.5 m
Matla F1 e otlolohile ho lehlaseli.
Letsoho la lever 1 (l)1) =r1 sebe 90o = (2.5 m)(1) = 2.5 m
Matla a 2 (F)2) = 10 N
Sebaka se pakeng tsa F2 le ntlha C (r2) = 2.5 m
Matla a F2 e otlolohile ho lehlaseli.
Letsoho la lever 2 (l)2) = r2 sebe 90o = (2.5 m(1) = 2.5 m
Matla a 3 (F)3) = 15 N
Sebaka se pakeng tsa F3 le ntlha C (r)3) = 7.5 m
Matla a F3 e otlolohile ho lehlaseli.
Letsoho la lever 3 (l)3) = r3 sebe 90o = (7.5 m)(1) = 7.5 m
Ho batloa: Torque ea letlooa e mabapi le axis ea potoloho
Tharollo:
Torque 1:
τ1 =F1 l1 = (10 N)(2.5 m) = 25 N m
Letšoao la ho eketsa hobane matla a F1 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque 2:
τ2 =F2 l2 = (10 N)(2.5 m) = 25 N m
Tletshwao la hae le eketsehileng hobane matla a F2 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque 3:
τ3 =F3 l3 = (15 N)(7.5 m) = -112..5 N m
Letšoao la ho tlosa hobane matla a F3 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque ea letlooa:
Στ = τ1 + τ2 – τ3 = 25 + 25 - 112.5 = – 62.5 N m
Letšoao la ho tlosa hobane matla a letlooa a etsa hore lehlaseli le e potoloha ka ho ya ka oache.
6. Bolelele ba lehlaseli ke 10 m, boholo ba F1 ke 10 N, boholo ba F2 ke 10 N le boholo ba F3 ke 10 N. Fumana torque ea letlooa mabapi le ntlha ea A, e fumanehang 5 m ho tloha poi
nt ea ts'ebeliso ea matla F1.
Mokhahlelo oa potoloho ntlheng ea A.
Tse tsejoang:
Matla a 1 (F)1) = 10 N
Sebaka se pakeng tsa F1 le ntlha A (r)1) = 5 m
Letsoho la lever 1 (l)1) =r1 sebe 60o = (5 m)(0.53= 2.53 m
Etsa matla 2 (F)2) = 10 N
Sebaka se pakeng tsa F2 le ntlha A (r)2= 0
Matla a F2 e otlolohile ho lehlaseli.
Letsoho la lever 2 (l)2) = r2 sebe 90o = (0)(1) = 0
Matla a 3 (F)3) = 10 N
Sebaka se pakeng tsa F3 le ntlha A (r)3) = 10 m
Letsoho la lever 3 (l)3) = r3 sebe 30o = (10 m)(0.5) = 5 m
Ho batloa: torque ea letlooa e potolohileng motsoako oa potoloho
Tharollo:
Torque 1:
τ1 =F1 l1 = (10 N)(2.5√3 limithara) = 25√3 = 43.3 N m
Letšoao la ho eketsa hobane matla a F1 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque 2:
τ2 =F2 l2 = (10 N)(0) = 0
Torque 3:
τ3 =F3 l3 = (10 N)(5 m) = -50 N m
Letšoao la ho tlosa hobane matla a F3 e etsa hore lehlaseli le e potoloha ka ho ya ka oache.
Torque ea letlooa:
Στ = τ1 + τ2 – τ3 = 43.3 + 0 - 50 = – 6.7 N m
Letšoao la ho tlosa hobane matla a letlooa a etsa hore lehlaseli le e potoloha ka ho ya ka oache.
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